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Astrophysical sources of gravitational waves, such as binary neutron star and black hole mergers or core-collapse supernovae, can drive relativistic outflows, giving rise to non-thermal high-energy emission. High-energy neutrinos are signatures of such outflows. The detection of gravitational waves and high-energy neutrinos from common sources could help establish the connection between the dynamics of the progenitor and the properties of the outflow. We searched for associated emission of gravitational waves and high-energy neutrinos from astrophysical transients with minimal assumptions using data from Advanced LIGO from its first observing run O1, and data from the Antares and IceCube neutrino observatories from the same time period. We focused on candidate events whose astrophysical origins could not be determined from a single messenger. We found no significant coincident candidate, which we used to constrain the rate density of astrophysical sources dependent on their gravitational-wave and neutrino emission processes.
One of the main objectives of the ANTARES telescope is the search for point- like neutrino sources. Both the pointing accuracy and the angular resolution of the detector are important in this context and a reliableway to evaluate this performance is needed. In order to measure the pointing accuracy of the detector, one possibility is to study the shadow of the Moon, i. e. the deficit of the atmospheric muon flux from the direction of the Moon induced by the absorption of cosmic rays. Analysing the data taken between 2007 and 2016, theMoon shadow is observed with 3.5s statistical significance. The detector angular resolution for downwardgoing muons is 0.73. +/- 0.14.. The resulting pointing performance is consistent with the expectations. An independent check of the telescope pointing accuracy is realised with the data collected by a shower array detector onboard of a ship temporarily moving around the ANTARES location.
The ANTARES neutrino telescope has an energy threshold of a few tens of GeV. This allows to study the phenomenon of atmospheric muon neutrino disappearance due to neutrino oscillations. In a similar way, constraints on the 3+1 neutrino model, which foresees the existence of one sterile neutrino, can be inferred. Using data collected by the ANTARES neutrino telescope from 2007 to 2016, a new measurement of m 2 and (23) has been performed which is consistent with world best-fit values and constraints on the 3+1 neutrino model have been derived.
We consider the process of muon-electron elastic scattering, which has been proposed as an ideal framework to measure the running of the electromagnetic coupling constant at space-like momenta and determine the leading-order hadronic contribution to the muon g-2 (MUonE experiment). We compute the next-to-leading (NLO) contributions due to QED and purely weak corrections and implement them into a fully differential Monte Carlo event generator, which is available for first experimental studies. We show representative phenomenological results of interest for the MUonE experiment and examine in detail the impact of the various sources of radiative corrections under different selection criteria, in order to study the dependence of the NLO contributions on the applied cuts. The study represents the first step towards the realisation of a high-precision Monte Carlo code necessary for data analysis.
KM3NeT will be a network of deep-sea neutrino telescopes in the Mediterranean Sea. The KM3NeT/ARCA detector, to be installed at the Capo Passero site (Italy), is optimised for the detection of high-energy neutrinos of cosmic origin. Thanks to its geographical location on the Northern hemisphere, KM3NeT/ARCA can observe upgoing neutrinos from most of the Galactic Plane, including the Galactic Centre. Given its effective area and excellent pointing resolution, KM3NeT/ARCA will measure or significantly constrain the neutrino flux from potential astrophysical neutrino sources. At the same time, it will test flux predictions based on gamma-ray measurements and the assumption that the gamma-ray flux is of hadronic origin. Assuming this scenario, discovery potentials and sensitivities for a selected list of Galactic sources and to generic point sources with an E-2 spectrum are presented. These spectra are assumed to be time independent. The results indicate that an observation with 3 sigma significance is possible in about six years of operation for the most intense sources, such as Supernovae Remnants RX J1713.7-3946 and Vela Jr. If no signal will be found during this time, the fraction of the gamma-ray flux coming from hadronic processes can be constrained to be below 50% for these two objects. (C) 2019 The Authors. Published by Elsevier B.V.
We consider the computation of volumes contained in a spatial slice of AdS(3) in terms of observables in a dual CFT. Our main tool is kinematic space, defined either from the bulk perspective as the space of oriented bulk geodesics, or from the CFT perspective as the space of entangling intervals. We give an explicit formula for the volume of a general region in a spatial slice of AdS(3) as an integral over kinematic space. For the region lying below a geodesic, we show how to write this volume purely in terms of entangling entropies in the dual CFT. This expression is perhaps most interesting in light of the complexity = volume proposal, which posits that complexity of holographic quantum states is computed by bulk volumes. An extension of this idea proposes that the holographic subregion complexity of an interval, defined as the volume under its Ryu-Takayanagi surface, is a measure of the complexity of the corresponding reduced density matrix. If this is true, our results give an explicit relationship between entanglement and subregion complexity in CFT, at least in the vacuum. We further extend many of our results to conical defect and BTZ black hole geometries.
In response to the 2013 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) study was launched, as an international collaboration hosted by CERN. This study covers a highest-luminosity high-energy lepton collider (FCC-ee) and an energy-frontier hadron collider (FCC-hh), which could, successively, be installed in the same 100 km tunnel. The scientific capabilities of the integrated FCC programme would serve the worldwide community throughout the 21st century. The FCC study also investigates an LHC energy upgrade, using FCC-hh technology. This document constitutes the second volume of the FCC Conceptual Design Report, devoted to the electron-positron collider FCC-ee. After summarizing the physics discovery opportunities, it presents the accelerator design, performance reach, a staged operation scenario, the underlying technologies, civil engineering, technical infrastructure, and an implementation plan. FCC-ee can be built with today's technology. Most of the FCC-ee infrastructure could be reused for FCC-hh. Combining concepts from past and present lepton colliders and adding a few novel elements, the FCC-ee design promises outstandingly high luminosity. This will make the FCC-ee a unique precision instrument to study the heaviest known particles (Z, W and H bosons and the top quark), offering great direct and indirect sensitivity to new physics.
We review the physics opportunities of the Future Circular Collider, covering its e(+)e(-), pp, ep and heavy ion programmes. We describe the measurement capabilities of each FCC component, addressing the study of electroweak, Higgs and strong interactions, the top quark and flavour, as well as phenomena beyond the Standard Model. We highlight the synergy and complementarity of the different colliders, which will contribute to a uniquely coherent and ambitious research programme, providing an unmatchable combination of precision and sensitivity to new physics.
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC study covered an energy-frontier hadron collider (FCC-hh), a highest-luminosity high-energy lepton collider (FCC-ee), the corresponding 100 km tunnel infrastructure, as well as the physics opportunities of these two colliders, and a high-energy LHC, based on FCC-hh technology. This document constitutes the third volume of the FCC Conceptual Design Report, devoted to the hadron collider FCC-hh. It summarizes the FCC-hh physics discovery opportunities, presents the FCC-hh accelerator design, performance reach, and staged operation plan, discusses the underlying technologies, the civil engineering and technical infrastructure, and also sketches a possible implementation. Combining ingredients from the Large Hadron Collider (LHC), the high-luminosity LHC upgrade and adding novel technologies and approaches, the FCC-hh design aims at significantly extending the energy frontier to 100 TeV. Its unprecedented centre-of-mass collision energy will make the FCC-hh a unique instrument to explore physics beyond the Standard Model, offering great direct sensitivity to new physics and discoveries.
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC study covered an energy-frontier hadron collider (FCC-hh), a highest-luminosity high-energy lepton collider (FCC-ee), the corresponding 100km tunnel infrastructure, as well as the physics opportunities of these two colliders, and a high-energy LHC, based on FCC-hh technology. This document constitutes the third volume of the FCC Conceptual Design Report, devoted to the hadron collider FCC-hh. It summarizes the FCC-hh physics discovery opportunities, presents the FCC-hh accelerator design, performance reach, and staged operation plan, discusses the underlying technologies, the civil engineering and technical infrastructure, and also sketches a possible implementation. Combining ingredients from the Large Hadron Collider (LHC), the high-luminosity LHC upgrade and adding novel technologies and approaches, the FCC-hh design aims at significantly extending the energy frontier to 100TeV. Its unprecedented centre of-mass collision energy will make the FCC-hh a unique instrument to explore physics beyond the Standard Model, offering great direct sensitivity to new physics and discoveries.
Narrow resonances decaying into WW, WZ or ZZ boson pairs are searched for in 139 fb(-1) of proton-proton collision data at a centre-of-mass energy of root s = 13TeV recorded with the ATLAS detector at the Large Hadron Collider from 2015 to 2018. The diboson system is reconstructed using pairs of high transverse momentum, large-radius jets. These jets are built from a combination of calorimeter- and tracker-inputs compatible with the hadronic decay of a boosted W or Z boson, using jet mass and substructure properties. The search is performed for diboson resonances with masses greater than 1.3TeV. No significant deviations from the background expectations are observed. Exclusion limits at the 95% confidence level are set on the production cross-section times branching ratio into dibosons for resonances in a range of theories beyond the Standard Model, with the highest excluded mass of a new gauge boson at 3.8TeV in the context of mass-degenerate resonances that couple predominantly to gauge bosons.
This paper describes a study of techniques for identifying Higgs bosons at high transverse momenta decaying into bottom-quark pairs, H -> b (b) over bar, for proton-proton collision data collected by the ATLAS detector at the Large Hadron Collider at a centre-of-mass energy root s = 13 TeV. These decays are reconstructed from calorimeter jets found with the anti-k(t) R = 1.0 jet algorithm. To tag Higgs bosons, a combination of requirements is used: b-tagging of R = 0.2 track-jets matched to the large-R calorimeter jet, and requirements on the jet mass and other jet substructure variables. The Higgs boson tagging efficiency and corresponding multijet and hadronic top-quark background rejections are evaluated using Monte Carlo simulation. Several benchmark tagging selections are defined for different signal efficiency targets. The modelling of the relevant input distributions used to tag Higgs bosons is studied in 36 fb(-1) of data collected in 2015 and 2016 using g -> b (b) over bar and Z(-> b (b) over bar)gamma event selections in data. Both processes are found to be well modelled within the statistical and systematic uncertainties.
The inclusive cross-section for jet production in association with a Z boson decaying into an electronpositron pair is measured as a function of the transverse momentum and the absolute rapidity of jets using 19.9 fb(-1) of root s = 8 TeV proton-proton collision data collected with the ATLAS detector at the Large Hadron Collider. The measured Z + jets cross-section is unfolded to the particle level. The cross-section is compared with state-of-the-art Standard Model calculations, including the next-to-leading-order and next-to-next-to-leading-order perturbative QCD calculations, corrected for non-perturbative and QED radiation effects. The results of the measurements cover final-state jets with transverse momenta up to 1 TeV, and show good agreement with fixed-order calculations.
This paper presents measurements of the W+->mu+nu and W-->mu-nu cross-sections and the associated charge asymmetry as a function of the absolute pseudorapidity of the decay muon. The data were collected in proton-proton collisions at a centre-of-mass energy of 8 TeV with the ATLAS experiment at the LHC and correspond to a total integrated luminosity of 20.2fb(-1). The precision of the cross-section measurements varies between 0.8 and 1.5% as a function of the pseudorapidity, excluding the 1.9% uncertainty on the integrated luminosity. The charge asymmetry is measured with an uncertainty between 0.002 and 0.003. The results are compared with predictions based on next-to-next-to-leading-order calculations with various parton distribution functions and have the sensitivity to discriminate between them.
This paper presents measurements of charged-particle distributions sensitive to the properties of the underlying event in events containing a Z boson decaying into a muon pair. The data were obtained using the ATLAS detector at the LHC in proton-proton collisions at a centre-of-mass energy of 13 TeV with an integrated luminosity of 3.2 fb(-1). Distributions of the charged-particle multiplicity and of the charged-particle transverse momentum are measured in regions of the azimuth defined relative to the Z boson direction. The measured distributions are compared with the predictions of various Monte Carlo generators which implement different underyling event models. The Monte Carlo model predictions qualitatively describe the data well, but with some significant discrepancies.
This Letter describes the observation of the light-by-light scattering process, gamma gamma -> gamma gamma, in Pb + Pb collisions at root S-NN = 5.02 TeV. The analysis is conducted using a data sample corresponding to an integrated luminosity of 1.73 nb(-1), collected in November 2018 by the ATLAS experiment at the LHC. Light-by-light scattering candidates are selected in events with two photons produced exclusively, each with transverse energy E-T(gamma) > 3 GeV and pseudorapidity vertical bar eta(gamma)vertical bar < 2.4, diphoton invariant mass above 6 GeV, and small diphoton transverse momentum and acoplanarity. After applying all selection criteria, 59 candidate events are observed for a background expectation of 12 +/- 3 events. The observed excess of events over the expected background has a significance of 8.2 standard deviations. The measured fiducial cross section is 78 +/- 13(stat) +/- 7(syst) +/- 3(lumi) nb.
A search for a heavy charged-boson resonance decaying into a charged lepton (electron or muon) and a neutrino is reported. A data sample of 139 fb(-1) of proton-proton collisions at root s = 13 TeV collected with the ATLAS detector at the LHC during 2015-2018 is used in the search. The observed transverse mass distribution computed from the lepton and missing transverse momenta is consistent with the distribution expected from the Standard Model, and upper limits on the cross section for pp -> W'-> lv are extracted (l = e or mu). These vary between 1.3 pb and 0.05 tb depending on the resonance mass in the range between 0.15 and 7.0 TeV at 95% confidence level for the electron and muon channels combined. Gauge bosons with a mass below 6.0 and 5.1 TeV are excluded in the electron and muon channels, respectively, in a model with a resonance that has couplings to fermions identical to those of the Standard Model W boson. Cross-section limits are also provided for resonances with several fixed Gamma/m values in the range between 1% and 15%. Model-independent limits are derived in single-bin signal regions defined by a varying minimum transverse mass threshold. The resulting visible cross-section upper limits range between 4.6 (15) ph and 22 (22) ab as the threshold increases from 130 (110) GeV to 5.1 (5.1) TeV in the electron (muon) channel.
This paper reports on a search for electroweak diboson (WW/WZ/ZZ) production in association with a high-mass dijet system, using data from proton-proton collisions at a center-of-mass energy of N root s = 13 TeV. The data, corresponding to an integrated luminosity of 35.5 fb(-1), were recorded with the ATLAS detector in 2015 and 2016 at the Large Hadron Collider. The search is performed in final states in which one boson decays leptonically, and the other boson decays hadronically. The hadronically decaying W/Z boson is reconstructed as either two small-radius jets or one large-radius jet using jet substructure techniques. The electroweak production of WW/WZ/ZZ in association with two jets is measured with an observed (expected) significance of 2.7 (2.5) standard deviations, and the fiducial cross section is measured to be 45.1 +/- 8.6(stat.)(-14.6)(+15.9)(syst.) fb.
The momentum measurement capability of the ATLAS muon spectrometer relies fundamentally on the intrinsic single-hit spatial resolution of the monitored drift tube precision tracking chambers. Optimal resolution is achieved with a dedicated calibration program that addresses the specific operating conditions of the 354 000 high-pressure drift tubes in the spectrometer. The calibrations consist of a set of timing offsets and drift time to drift distance transfer relations, and result in chamber resolution functions. This paper describes novel algorithms to obtain precision calibrations from data collected by ATLAS in LHC Run 2 and from a gas monitoring chamber, deployed in a dedicated gas facility. The algorithm output consists of a pair of correction constants per chamber which are applied to baseline calibrations, and determined to be valid for the entire ATLAS Run 2. The final single-hit spatial resolution, averaged over 1172 monitored drift tube chambers, is 81.7 +/- 2.2 mu m.
A search for high-mass dielectron and dimuon resonances in the mass range of 250 GeV to 6TeV is presented. The data were recorded by the ATLAS experiment in proton-proton collisions at a centre-ofmass energy of root s = 13 TeV during Run 2 of the Large Hadron Collider and correspond to an integrated luminosity of 139 fb(-1). A functional form is fitted to the dilepton invariant-mass distribution to model the contribution from background processes, and a generic signal shape is used to determine the significance of observed deviations from this background estimate. No significant deviation is observed and upper limits are placed at the 95% confidence level on the fiducial cross-section times branching ratio for various resonance width hypotheses. The derived limits are shown to be applicable to spin-0, spin-1 and spin-2 signal hypotheses. For a set of benchmark models, the limits are converted into lower limits on the resonance mass and reach 4.5 TeV for the E-6-motivated Z(psi)' boson. Also presented are limits on Heavy Vector Triplet model couplings. (C) 2019 The Author. Published by Elsevier B.V.
A search for new particles decaying into a pair of top quarks is performed using proton-proton collision data recorded with the ATLAS detector at the Large Hadron Collider at a center-of-mass energy of root s = 13 TeV corresponding to an integrated luminosity of 36.1 fb(-1). Events consistent with top-quark pair production and the fully hadronic decay mode of the top quarks are selected by requiring multiple high transverse momentum jets including those containing b-hadrons. Two analysis techniques, exploiting dedicated top-quark pair reconstruction in different kinematic regimes, are used to optimize the search sensitivity to new hypothetical particles over a wide mass range. The invariant mass distribution of the two reconstructed top-quark candidates is examined for resonant production of new particles with various spins and decay widths. No significant deviation from the Standard Model prediction is observed and limits are set on the production cross-section times branching fraction for new hypothetical Z' bosons, dark-matter mediators, Kaluza-Klein gravitons and Kaluza-Klein gluons. By comparing with the predicted production cross sections, the Z' boson in the topcolor-assisted-technicolor model is excluded for masses up to 3.1-3.6 TeV, the dark-matter mediators in a simplified framework are excluded in the mass ranges from 0.8 to 0.9 TeV and from 2.0 to 2.2 TeV, and the Kaluza-Klein gluon is excluded for masses up to 3.4 TeV, depending on the decay widths of the particles.
This Letter presents a search for new light resonances decaying to pairs of quarks and produced in association with a high-p(T) photon or jet. The dataset consists of proton-proton collisions with an integrated luminosity of 36.1 fb(-1) at a centre-of-mass energy of root s = 13 TeV recorded by the ATLAS detector at the Large Hadron Collider. Resonance candidates are identified as massive large-radius jets with substructure consistent with a particle decaying into a quark pair. The mass spectrum of the candidates is examined for local excesses above background. No evidence of a new resonance is observed in the data, which are used to exclude the production of a lepto-phobic axial-vector Z' boson. (C) 2018 The Author(s). Published by Elsevier B.V.
Phylogenetically related groups of species contain lineage-specific genes that exhibit no sequence similarity to any genes outside the lineage. We describe here that the Jekyll gene, required for sexual reproduction, exists in two much diverged allelic variants, Jek1 and Jek3. Despite low similarity, the Jek1 and Jek3 proteins share identical signal peptides, conserved cysteine positions and direct repeats. The Jek1/Jek3 sequences are located at the same chromosomal locus and inherited in a monogenic Mendelian fashion. Jek3 has a similar expression as Jek1 and complements the Jek1 function in Jek1-deficient plants. Jek1 and Jek3 allelic variants were almost equally distributed in a collection of 485 wild and domesticated barley accessions. All domesticated barleys harboring the Jek1 allele belong to single haplotype J1-H1 indicating a genetic bottleneck during domestication. Domesticated barleys harboring the Jek3 allele consisted of three haplotypes. Jekyll-like sequences were found only in species of the closely related tribes Bromeae and Triticeae but not in other Poaceae. Non-invasive magnetic resonance imaging revealed intrinsic grain structure in Triticeae and Bromeae, associated with the Jekyll function. The emergence of Jekyll suggests its role in the separation of the Bromeae and Triticeae lineages within the Poaceae and identifies the Jekyll genes as lineage-specific.
Mutual coupling and injection locking of semiconductor lasers is of great interest in non-linear dynamics and its applications for instance in secure data communication and photonic reservoir computing. Despite its importance, it has hardly been studied in microlasers operating at mu W light levels. In this context, vertically emitting quantum dot micropillar lasers are of high interest. Usually, their light emission is bimodal, and the gain competition of the associated linearly polarized fundamental emission modes results in complex switching dynamics. We report on selective optical injection into either one of the two fundamental mode components of a bimodal micropillar laser. Both modes can lock to the master laser and influence the non-injected mode by reducing the available gain. We demonstrate that the switching dynamics can be tailored externally via optical injection in very good agreement with our theory based on semi-classical rate equations. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
Studies of the fragmentation of jets into charged particles in heavy-ion collisions can help in understanding the mechanism of jet quenching by the hot and dense QCD matter created in such collisions, the quark-gluon plasma. These proceedings present a measurement of the angular distribution of charged particles around the jet axis in root s(NN) = 5.02 TeV Pb+Pb and pp collisions, done using the ATLAS detector at the LHC. The measurement is performed inside jets reconstructed with the anti-k(t) algorithm with radius parameter R = 0.4, and is extended to regions outside the jet cone. Results are presented as a function of Pb+Pb collision centrality, and both jet and charged-particle transverse momenta.
The helical distribution of the electronic density in chiral molecules, such as DNA and bacteriorhodopsin, has been suggested to induce a spin–orbit coupling interaction that may lead to the so-called chirality-induced spin selectivity (CISS) effect. Key ingredients for the theoretical modelling are, in this context, the helically shaped potential of the molecule and, concomitantly, a Rashba-like spin–orbit coupling due to the appearance of a magnetic field in the electron reference frame. Symmetries of these models clearly play a crucial role in explaining the observed effect, but a thorough analysis has been largely ignored in the literature. In this work, we present a study of these symmetries and how they can be exploited to enhance chiral-induced spin selectivity in helical molecular systems.
Das Forschungsgebiet der Perowskit‐Halbleiter entwickelt sich rasant. Ein Vorteil besteht darin, dass sich damit Solarzellen und optoelektronische Bauelemente von der Fotodiode bis zum Laser einfach aus einer Lösung herstellen lassen. Damit ist zum Beispiel die Herstellung durch Drucken einer „Solarzellentinte“ möglich. Der geringe Energiebedarf durch niedrige Prozesstemperaturen verkürzt zudem die Energierückgewinnungszeit drastisch im Vergleich zu konventionellen Solarzellen. Obwohl noch eine junge Technologie, erreichen Perowskit‐Solarzellen bereits heute Wirkungsgrade bis etwa 25 % und sind damit auf Augenhöhe mit konventionellen Dünnschichttechnologien. Ein weiterer Vorteil besteht darin, dass sich die Bandlücke durch chemische Modifikation einfach an Anwendungen anpassen lässt. Zu den Herausforderungen der Forschung zählen noch die geringe Lebensdauer und chemische Langzeitstabilität sowie die Suche nach ungiftigen Ersatzstoffen für das Blei. Kommerzielle Anwendungen sind bereits absehbar.
Active Galactic Nuclei emit radiation over the whole electromagnetic spectrum up to TeV energies. Blazars are one subtype with their jets pointing towards the observer. One of their typical features is extreme variability on timescales, from minutes to years. The fractional variability is an often used parameter for investigating the degree of variability of a light curve. Different detection methods and sensitivities of the instruments result in differently binned data and light curves with gaps. As they can influence the physics interpretation of the broadband variability, the effects of these differences on the fractional variability need to be studied. In this paper, we study the systematic effects of completeness in time coverage and the sampling rate. Using public data from instruments monitoring blazars in various energy ranges, we study the variability of the bright TeV blazars Mrk 421 and Mrk 501 over the electromagnetic spectrum, taking into account the systematic effects, and compare our findings with previous results. Especially in the TeV range, the fractional variability is higher than in previous studies, which can be explained by the much longer (seven years compared to few weeks) and more complete data sample.
Magnetic Particle Imaging (MPI) is a promising new tomographic modality for fast as well as three-dimensional visualization of magnetic material. For anatomical or structural information an additional imaging modality such as computed tomography (CT) is required. In this paper, the first hybrid MPI-CT scanner for multimodal imaging providing simultaneous data acquisition is presented.
Rapid multiple-quantum three-dimensional fluorescence spectroscopy disentangles quantum pathways
(2019)
Coherent two-dimensional spectroscopy is a powerful tool for probing ultrafast quantum dynamics in complex systems. Several variants offer different types of information but typically require distinct beam geometries. Here we introduce population-based three-dimensional (3D) electronic spectroscopy and demonstrate the extraction of all fourth- and multiple sixth-order nonlinear signal contributions by employing 125-fold (1⨯5⨯5⨯5) phase cycling of a four-pulse sequence. Utilizing fluorescence detection and shot-to-shot pulse shaping in single-beam geometry, we obtain various 3D spectra of the dianion of TIPS-tetraazapentacene, a fluorophore with limited stability at ambient conditions. From this, we recover previously unknown characteristics of its electronic two-photon state. Rephasing and nonrephasing sixth-order contributions are measured without additional phasing that hampered previous attempts using noncollinear geometries. We systematically resolve all nonlinear signals from the same dataset that can be acquired in 8 min. The approach is generalizable to other incoherent observables such as external photoelectrons, photocurrents, or photoions.
Dynamic light scattering is a popular technique to determine the size distribution of small particles in the sub micrometer region. It operates in reciprocal space, by analyzing the signal fluctuations with the photon auto correlation function. Equally, pulsed field gradient magnetic resonance is a technique generating data in the reciprocal space of the density distribution of an object. Here we show the feasibility of employing a magnetic resonance imaging system as a dynamic scattering device similar to dynamic light scattering appliances. By acquiring a time series of single data points from reciprocal space, analogue to dynamic light scattering, we demonstrate the examination of motion patterns of microscopic particles. This method allows the examination of particle dynamics significantly below the spatial resolution of magnetic resonance imaging. It is not limited by relaxation times and covers a wide field of applications for particle or cell motion in opaque media.
In der vorliegenden Arbeit werden die strukturellen und magnetischen Eigenschaften verschiedener 3d-Übergangsmetalloxidketten (TMO-Ketten) auf Ir(001) und Pt(001) untersucht. Diese weisen eine (3 × 1) Struktur mit periodisch angeordneten Ketten auf, die nur über die Sauerstoffbindung an das Substrat gekoppelt sind. Während die Struktur durch experimentelle und theoretische Untersuchungen bestätigt ist, liegen für die magnetischen Eigenschaften ausschließlich Rechnungen vor. Zur Überprüfung dieser theoretischen Vorhersagen wird die Methode der spinpolarisierten Rastertunnelmikroskopie (SP-STM) verwendet, die die Abbildung der magnetischen Ordnung mit atomarer Auflösung erlaubt.
Die Untersuchungen beginnen mit der Vorstellung der Ir(001) Oberfläche, die eine (5 × 1) Rekonstruktion aufweist. Eine Aufhebung dieser Rekonstruktion erreicht man durch das Heizen des Ir-Substrats in Sauerstoffatmosphäre unter Bildung einer (2 × 1) Sauerstoffrekonstruktion. Die Qualität der Oberfläche hängt dabei von der Wachstumstemperatur T und dem verwendeten Sauerstoffdruck pOx ab. Die bei T = 550°C und pOx = 1 × 10^−8 mbar hergestellte Sauerstoffrektonstruktion dient als Ausgangspunkt für die folgenden Präparationen von CoO2, FeO2 und MnO2-Ketten. Dazu wird jeweils eine drittel Monolage (ML) des Übergangsmetalls auf die Oberfläche des Substrates gedampft und die Probe unter Sauerstoffatmosphäre ein weiteres Mal geheizt. Auf diese Weise kann die (3 × 1) Struktur der bekannten Ketten bestätigt und die Gruppe der TMO-Ketten um die CrO2-Ketten erweitert werden.
In der einschlägigen Fachliteratur wurden Vorhersagen bezüglich der magnetischen Struktur der TMO-Ketten publiziert, wonach entlang und zwischen CoO2-Ketten eine ferromagnetische (FM) und für FeO2 und MnO2-Ketten eine antiferromagnetische (AFM-) Kopplung vorliegt.Während die Überprüfung dieser Vorhersagen mit SP-STM für CoO2 und CrO2-Ketten keine Hinweise auf magnetische Strukturen liefert, liegen bei FeO2 und MnO2-Ketten unterschiedliche magnetische Phasen vor. In der Tat kann
mit den experimentell gefundenen Einheitszellen die AFM-Kopplung entlang beider Ketten bestätigt werden. Im Gegensatz widersprechen die Kopplungen zwischen den Ketten den Berechnungen. Bei FeO2-Ketten liegt eine stabile FM Ordnung vor, die zu einer magnetischen (3 × 2) Einheitszelle mit einer leichten Magnetisierung in Richtung der Oberflächennormalen führt (out-of-plane). Die MnO2-Ketten weichen ebenfalls von der berechneten magnetischen kollinearen Ordnung zwischen benachbarten Ketten ab und zeigen eine chirale Struktur. Durch die Rotation der Mn-Spins um 120° in der Probenebenen (in-plane) entsteht eine magnetische (9 × 2) Einheitszelle, deren Periode durch neue DFT-Rechnungen bestätigt wird. Nach diesen Berechnungen handelt es sich um eine Spinspirale, die durch die Dzyaloshinskii-Moriya (DM-) Wechselwirkung bei einem Energiegewinn von 0,3 meV pro Mn-Atom gegenüber den kollinearen FM Zustand stabilisiert wird. Diese wird ähnlich wie bei bereits publizierten Clustern und Adatomen auf Pt(111) durch die Rudermann-Kittel-Kasuya-Yosida (RKKY-) Wechselwirkung vermittelt und erklärt den experimentell gefundenen einheitlichen Drehsinn der Spiralen.
Die RKKY-Wechselwirkung zeigt eine starke Abhängigkeit von der Fermi-Oberfläche des Substrats. Im folgenden Kapitel werden deshalb mit TMO-Ketten auf Pt(001) die strukturellen und magnetischen Eigenschaften auf einem weiteren Substrat analysiert, wobei zum Zeitpunkt der Arbeit nur die Existenz der CoO2-Ketten aus der Literatur bekannt war. Vergleichbar mit Ir(001) besitzt auch Pt(001) eine rekonstruierte Oberfläche, die sich aber stabil gegenüber Oxidation zeigt. Dadurch muss die drittel ML des Übergangsmetalls direkt auf die Rekonstruktion aufgedampft werden. Das Wachstum des Übergangsmetalls ist dabei von der Temperatur des Substrats abhängig und beeinflusst
das Ergebnis der nachfolgenden Oxidation. Diese erfolgt analog zum Wachstum der Ketten auf Ir(001) durch das Heizen der Probe in Sauerstoffatmosphäre und resultiert nur für das Aufdampfen des Übergangsmetalls auf kalte Pt(001) Oberflächen in Ketten mit der Periode von 3aPt. Auf diese Weise kann nicht nur die (3 × 1) Struktur der CoO2-Ketten bestätigt werden, sondern auch durch atomare Auflösung die Gruppe der TMO-Ketten um MnO2-Ketten auf Pt(001) erweitert werden. Im Gegensatz dazu sind die nicht magnetischen Messungen im Fall von Fe nicht eindeutig. Zwar liegen
auch hier Ketten im Abstand des dreifachen Pt Gittervektors vor, trotzdem ist die (3 × 1) Struktur nicht nachweisbar. Dies liegt an einer Korrugation mit einer Periode von 2aPt entlang der Ketten, was ein Hinweis auf eine Peierls Instabilität sein kann.
Entsprechend dem Vorgehen für Ir(001) werden für die TMO-Ketten auf Pt(001) SP-STM Messungen durchgeführt und die Vorhersage einer AFM-Kopplung für CoO2-Ketten überprüft. Auch hier können, wie im Fall von CoO2-Ketten und im Widerspruch zur Vorhersage, für beide Polarisationsrichtungen der Spitze keine magnetischen Strukturen gefunden werden. Darüber hinaus verhalten sich die MnO2-Ketten auf Pt(001) mit ihrer chiralen magnetischen Struktur ähnlich zu denen auf Ir(001). Dies bestätigt die Annahme einer indirekten DM-Wechselwirkung, wobei durch die 72° Rotation der Mn-Spins eine längere Periode der zykloidalen Spinspirale festgestellt wird. Die Erklärung dafür liegt in der Abhängigkeit der RKKY-Wechselwirkung vom Fermi-Wellenvektor des Substrats, während sich die DM-Wechselwirkung beim Übergang von Ir zu Pt nur wenig ändert.
In this work, we elucidated recombination kinetics in organic and hybrid semiconductors by steady-state and time-resolved PL spectroscopy. Using these simple and very flexible experimental techniques, we probed the infrared emission from recombining free charge carriers in metal–halide perovskites, as well as the deep blue luminescence from intramolecular charge-transfer states in novel OLED emitters. We showed that similar state diagrams and kinetic models accurately describe the dynamics of excited species in these very different material systems.
In Chapters 4 and 5, we focused on lead iodide perovskites (MAPI and FAPI), whose comparatively developed deposition techniques suited the systematic material research. In MAPI, we harnessed the anomalous dependence of transient PL on the laser repetition rate in order to investigate the role of interfaces with the commonly used charge-selective layers: PC60BM, spiro-MeOTAD, and P3HT. The film was deposited on a large precut substrate and separated into several parts, which were then covered with the charge-selective layers. Thereby, the same bulk perovskite structure was maintained for all samples. Consequently, we were able to isolate interface-affected and bulk carrier recombination. The first one dominated the fast component of PL decay up to 300 ns, whereas the last was assigned to the remaining slow component. The laser repetition rate significantly prolonged PL decay in MAPI with additional interfaces while shortening the charge carrier lifetime in the pristine film. We qualitatively explained this effect by a kinetic model that included radiative electron–hole recombination and nonradiative trap-assisted recombination. All in all, we showed that the apparent PL lifetime in MAPI is to large extend defined by the laser repetition rate and by the adjacent interfaces.
Further, we studied photon recycling in MAPI and FAPI. We monitored how the microscopic PL transforms while propagating through the thin perovskite film. The emission was recorded within 5orders of magnitude in intensity up to 70μm away from the excitation spot. The Beer–Lambert law previously failed to describe the complex interplay of the intrinsic PL spectrum and the additional red-shifted peak. Therefore, we developed a general numerical model that accounts for self-absorption and diffusion of the secondary charge carriers. A simulation based on this model showed excellent agreement with the experimental spatially resolved PL maps. The proposed model can be applied to any perovskite film, because it uses easily measurable intrinsic PL spectrum and macroscopic absorption coefficient as seeding parameters.
In Chapter 6, we conducted an extensive photophysical study of a novel compact deep blue OLED emitter, SBABz4, containing spiro-biacridine and benzonitrile units. We also considered its single-donor monomer counterpart, DMABz4, in order to highlight the structure–property relationships. Both compounds exhibited thermally activated delayed fluorescence (TADF), which was independently proven by oxygen quenching and temperature-dependent transient PL measurements. The spiro-linkage in the double-donor core of SBABz4 rendered its luminescence pure blue compared to the blue-green emission from the single-donor DMABz4. Thus, the core-donor provided desirable color tuning in the deep blue region, as opposed to the common TADF molecular design with core-acceptor. Using PL lifetimes and efficiencies, we predicted EQEmax = 7.1% for SBABz4-based OLED, whereas a real test device showed EQEmax = 6.8%. Transient PL was recorded from the solutions and solid films in the unprecedentedly broad dynamic range covering up to 6orders of magnitude in time and 8orders of magnitude in intensity. The stretched exponent was shown to fit the transient PL in the films very well, whereas PL decay in dilute solution was found purely exponential. When the emitter was embedded in the host matrix that prevented aggregation, its TADF properties were superior in comparison with the pure SBABz4 film. Finally, using temperature-dependent transient PL data, we calculated the TADF activation energy of 70 meV.
To sum up, this Thesis contributes to the two fascinating topics of the last decade’s material research: perovskite absorbers for photovoltaics and TADF emitters for OLEDs. We were lucky to work with the emerging systems and tailor for them new models out of the well-known physical concepts. This was both exciting and challenging. In the end, science of novel materials is always a mess. We hope that we brought there a bit of clarity and light.
Due to their complex chemical structure transition metal oxides display many fascinating properties which conventional semiconductors lack.
For this reason transition metal oxides hold a lot of promise for novel electronic functionalities.
Just as in conventional semiconductor heterostructures, the interfaces between different materials play a key role in oxide electronics.
The textbook example is the (001) interface between the band insulators LaAlO\(_3\) and SrTiO\(_3\) at which a two-dimensional electron system (2DES) forms.
In order to utilize such a 2DES in prospective electronic devices, it is vital that the electronic properties of the interface can be controlled and manipulated at will.
Employing photoelectron spectroscopy as well as electronic transport measurements, this thesis examines how such interface engineering can be realized in the case of the LaAlO\(_3\)/SrTiO\(_3\) heterostructure:
By photoemission we manage to unambiguously distinguish the different mechanisms by which SrTiO\(_3\) can be doped with electrons.
An electronic reconstruction is identified as the driving mechanism to render stoichiometric LaAlO\(_3\)/SrTiO\(_3\) interfaces metallic.
The doping of the LaAlO\(_3\)/SrTiO\(_3\) heterointerface can furthermore be finely adjusted by changing the oxygen vacancy \(V_{\mathrm{O}}\) concentration in the heterostructure.
Combining intense x-ray irradiation with oxygen dosing, we even achieve control over the \(V_{\mathrm{O}}\) concentration and, consequently, the doping in the photoemission experiment itself.
Exploiting this method, we investigate how the band diagram of SrTiO\(_3\)-based heterostructures changes as a function of the \(V_{\mathrm{O}}\) concentration and temperature by hard x-ray photoemission spectroscopy.
With the band bending in the SrTiO\(_3\) substrate changing as a function of the \(V_{\mathrm{O}}\) concentration, the interfacial band alignment is found to vary as well.
The relative permittivity of the SrTiO\(_3\) substrate and, in particular, its dependence on temperature and electric field is identified as one of the essential parameters determining the electronic interface properties.
That is also why the sample temperature affects the charge carrier distribution.
The mobile charge carriers are shown to shift toward the SrTiO\(_3\) bulk when the sample temperature is lowered.
This effect is, however, only pronounced if the total charge carrier concentration is small.
At high charge carrier concentrations the charge carriers are always confined to the interface, independent of the sample temperature.
The dependence of the electronic interface properties on the \(V_{\mathrm{O}}\) concentration is also investigated by a complementary method, viz. by electronic transport measurements.
These experiments confirm that the mobile charge carrier concentration increases concomitantly to the \(V_{\mathrm{O}}\) concentration.
The mobility of the charge carriers changes as well depending on the \(V_{\mathrm{O}}\) concentration.
Comparing spectroscopy and transport results, we are able to draw conclusions about the processes limiting the mobility in electronic transport.
We furthermore build a memristor device from our LaAlO\(_3\)/SrTiO\(_3\) heterostructures and demonstrate how interface engineering is used in practice in such novel electronic applications.
This thesis furthermore investigates how the electronic structure of the 2DES is affected by the interface topology:
We show that, akin to the (001) LaAlO\(_3\)/SrTiO\(_3\) heterointerface, an electronic reconstruction also renders the (111) interface between LaAlO\(_3\) and SrTiO\(_3\) metallic.
The change in interface topology becomes evident in the Fermi surface of the buried 2DES which is probed by soft x-ray photoemission.
Based on the asymmetry in the Fermi surface, we estimate the extension of the conductive layer in the (111)-oriented LaAlO\(_3\)/SrTiO\(_3\) heterostructure.
The spectral function measured furthermore identifies the charge carriers at the interface as large polarons.
An experimental setup for probing ultrafast dynamics at the diffraction limit was developed, characterized and demonstrated in the scope of the thesis, aiming for optical investigations while simultaneously approaching the physical limits on the length and timescale.
An overview of this experimental setup was given in Chapter 2, as well as the considerations that led to the selection of the individual components. Broadband laser pulses with a length of 9.3 fs, close to the transform limit of 7.6 fs, were focused in a NA = 1.4 immersion oil objective, to the diffraction limit of below 300 nm (FWHM).
The spatial focus shape was characterized with off-resonance gold nanorod scatterers scanned through the focal volume. For further insights into the functionality and limitations of the pulse shaper, its calibration procedure was reviewed. The deviations between designed and experimental pulse shapes were attributed to pulse-shaper artifacts, including voltage-dependent inter-layer as well as intra-layer LCD-pixel crosstalk, Fabry-Pérot-type reflections in the LCD layers, and space-time coupling. A pixel-dependent correction was experimentally carried out, which can be seen as an extension of the initial calibration to all possible voltage combinations of the two LCD layers.
The capabilities of the experimental setup were demonstrated in two types of experiments, targeting the nonlinearity of gold (Chapter 3) as well as two-dimensional spectroscopy at micro-structured surfaces (Chapter 4).
Investigating thin films, an upper bound for the absolute value for the imaginary part of the nonlinear refractive index of gold could be set to |n′′ 2 (Au)| < 0.6·10−16 m2/W, together with |n′ 2 (Au)| < 1.2·10−16 m2/W as an upper bound for the absolute value of the real part. Finite-difference time-domain simulations on y-shaped gold nanostructures indicated that a phase change of ∆Φ ≥ 0.07 rad between two plasmonic modes would induce a sufficient change in the spatial contrast of emission to the far-field to be visible in the experiment. As the latter could not be observed, this value of ∆Φ was determined as the upper bound for the experimentally induced phase change. An upper bound of 52 GW/cm2 was found for the damage threshold.
In Chapter 4, a novel method for nonlinear spectroscopy on surfaces was presented. Termed coherent two-dimensional fluorescence micro-spectroscopy, it is capable of exploring ultrafast dynamics in nanostructures and molecular systems at the diffraction limit. Two-dimensional spectra of spatially isolated hotspots in structured thin films of fluorinated zinc phthalocyanine (F16ZnPc) dye were taken with a 27-step phase-cycling scheme. Observed artifacts in the 2D maps were identified as a consequence from deviations between the desired and the experimental pulse shapes. The optimization procedures described in Chapter 2 successfully suppressed the deviations to a level where the separation from the nonlinear sample response was feasible.
The experimental setup and methods developed and presented in the scope of this thesis demonstrate its flexibility and capability to study microscopic systems on surfaces. The systems exemplarily shown are consisting of metal-organic dyes and metallic nanostructures, represent samples currently under research in the growing fields of organic semiconductors and plasmonics.
Active galactic nuclei (AGN) are among the brightest and most frequent sources on the extragalactic X-ray and gamma-ray sky. Their central supermassive blackhole generates an enormous luminostiy through accretion of the surrounding gas. A few AGN harbor highly collimated, powerful jets in which are observed across the entire electromagnetic spectrum. If their jet axis is seen in a small angle to our line-of-sight (these objects are then called blazars) jet emission can outshine any other emission component from the system. Synchrotron emission from electrons and positrons clearly prove the existence of a relativistic leptonic component in the jet plasma. But until today, it is still an open question whether heavier particles, especially protons, are accelerated as well. If this is the case, AGN would be prime candidates for extragalactic PeV neutrino sources that are observed on Earth. Characteristic signatures for protons can be hidden in the variable high-energy emission of these objects. In this thesis I investigated the broadband emission, particularly the high-energy X-ray and gamma-ray emission of jetted AGN to address open questions regarding the particle acceleration and particle content of AGN jets, or the evolutionary state of the AGN itself. For this purpose I analyzed various multiwavelength observations from optical to gamma-rays over a period of time using a combination of state-of-the-art spectroscopy and timing analysis. By nature, AGN are highly variable. Time-resolved spectral analysis provided a new dynamic view of these sources which helped to determine distinct emission processes that are difficult to disentangle from spectral or timing methods alone.
Firstly, this thesis tackles the problem of source classification in order to facilitate the search for interesting sources in large data archives and characterize new transient sources. I use spectral and timing analysis methods and supervised machine learning algorithms to design an automated source classification pipeline. The test and training sample were based on the third XMM-Newton point source catalog (3XMM-DR6). The set of input features for the machine learning algorithm was derived from an automated spectral modeling of all sources in the 3XMM-DR6, summing up to 137200 individual detections. The spectral features were complemented by results of a basic timing analysis as well as multiwavelength information provided by catalog cross-matches. The training of the algorithm and application to a test sample showed that the definition of the training sample was crucial: Despite oversampling minority source types with synthetic data to balance out the training sample, the algorithm preferably predicted majority source types for unclassified objects. In general, the training process showed that the combination of spectral, timing and multiwavelength features performed best with the lowest misclassification rate of \\sim2.4\\%.
The methods of time-resolved spectroscopy was then used in two studies to investigate the properties of two individual AGN, Mrk 421 and PKS 2004-447, in detail. Both objects belong to the class of gamma-ray emitting AGN. A very elusive sub-class are gamma-ray emitting Narrow Line Seyfert 1 (gNLS1) galaxies. These sources have been discovered as gamma-ray sources only recently in 2010 and a connection to young radio galaxies especially compact steep spectrum (CSS) radio sources has been proposed. The only gNLS1 on the Southern Hemisphere so far is PKS2004-447 which lies at the lower end of the luminosity distribution of gNLS1. The source is part of the TANAMI VLBI program and is regularly monitored at radio frequencies. In this thesis, I presented and analyzed data from a dedicated multiwavelength campaign of PKS 2004-447 which I and my collaborators performed during 2012 and which was complemented by individual observations between 2013 and 2016. I focussed on the detailed analysis of the X-ray emission and a first analysis of its broadband spectrum from radio to gamma-rays. Thanks to the dynamic SED I could show that earlier studies misinterpreted the optical spectrum of the source which had led to an underestimation of the high-energy emission and had ignited a discussion on the source class. I show that the overall spectral properties are consistent with dominating jet emission comprised of synchrotron radiation and inverse Compton scattering from accelerated leptons. The broadband emission is very similar to typical examples of a certain type of blazars (flat-spectrum radio quasars) and does not present any unusual properties in comparison. Interestingly, the VLBI data showed a compact jet structure and a steep radio spectrum consistent with a compact steep spectrum source. This classified PKS 2004-447 as a young radio galaxy, in which the jet is still developing.
The investigation of Mrk 421 introduced the blazar monitoring program which I and collaborator have started in 2014. By observing a blazar simultaneously from optical, X-ray and gamma-ray bands during a VHE outbursts, the program aims at providing extraordinary data sets to allow for the generation of a series of dynamical SEDs of high spectral and temporal resolution. The program makes use of the dense VHE monitoring by the FACT telescope. So far, there are three sources in our sample that we have been monitoring since 2014. I presented the data and the first analysis of one of the brightest and most variable blazar, Mrk 421, which had a moderate outbreak in 2015 and triggered our program for the first time. With spectral timing analysis, I confirmed a tight correlation between the X-ray and TeV energy bands, which indicated that these jet emission components are causally connected. I discovered that the variations of the optical band were both correlated and anti-correlated with the high-energy emission, which suggested an independent emission component. Furthermore, the dynamic SEDs showed two different flaring behaviors, which differed in the presence or lack of a peak shift of the low-energy emission hump. These results further supported the hypothesis that more than one emission region contributed to the broadband emission of Mrk 421 during the observations.
Overall,the studies presented in this thesis demonstrated that time-resolved spectroscopy is a powerful tool to classify both source types and emission processes of astronomical objects, especially relativistic jets in AGN, and thus provide a deeper understanding and new insights of their physics and properties.
Metal nanostructures have been known for a long time to exhibit optical resonances via localized surface plasmons. The high electric fields in close proximity to the metal surface have prospects to dramatically change the dynamics of electronic transitions, such as an enhanced spontaneous decay rate of a single emitter. However, there have been two major issues which impede advances in the experimental realization of enhanced light-matter interaction. (i) The fabrication of high-quality resonant structures requires state-of-the-art patterning techniques in combination with superior materials. (ii) The tiny extension of the optical near-field requires precise control of the single emitter with respect to the nanostructure. This work demonstrates a solution to these problems by combining scanning probe and optical confocal microscopy. Here, a novel type of scanning probe is introduced which features a tip composed of the edge of a single crystalline gold sheet. The patterning via focused ion beam milling makes it possible to introduce a plasmonic nanoresonator directly at the apex of the tip. Numerical simulations demonstrate that the optical properties of this kind of scanning probe are ideal to analyze light-matter interaction. Detailed experimental studies investigate the coupling mechanism between a localized plasmon and single colloidal quantum dots by dynamically changing coupling strength via their spatial separation. The results have shown that weak interaction affects the shape of the fluorescence spectrum as well as the polarization. For the best probes it has been found that it is possible to reach the strong coupling regime at the single emitter level at room temperature. The resulting analysis of the experimental data and the proposed theoretical models has revealed the differences between the established far-field coupling and near-field coupling. It has been found that the broad bandwidth of plasmonic resonances are able to establish coherent coupling to multiple transitions simultaneously giving rise to an enhanced effective coupling strength. It has also been found that the current model to numerically calculate the effective mode volume is inaccurate in case of mesoscopic emitters and strong coupling. Finally, light-matter interaction is investigated by the means of a quantum-dot-decorated microtubule which is traversing a localized nearfield by gliding on kinesin proteins. This biological transport mechanism allows the parallel probing of a meta-surface with nm-precision. The results that have been put forward throughout this work have shed new light on the understanding of plasmonic light-matter interaction and might trigger ideas on how to more efficiently combine the power of localized electric fields and novel excitonic materials.
Space- and time-resolved UV-to-NIR surface spectroscopy and 2D nanoscopy at 1 MHz repetition rate
(2019)
We describe a setup for time-resolved photoemission electron microscopy (TRPEEM) with aberration correction enabling 3 nm spatial resolution and sub-20 fs temporal resolution. The latter is realized by our development of a widely tunable (215–970 nm) noncollinear optical parametric amplifier (NOPA) at 1 MHz repetition rate. We discuss several exemplary applications. Efficient photoemission from plasmonic Au nanoresonators is investigated with phase-coherent pulse pairs from an actively stabilized interferometer. More complex excitation fields are created with a liquid-crystal-based pulse shaper enabling amplitude and phase shaping of NOPA pulses with spectral components from 600 to 800 nm. With this system we demonstrate spectroscopy within a single plasmonic nanoslit resonator by spectral amplitude shaping and investigate the local field dynamics with coherent two-dimensional (2D) spectroscopy at the nanometer length scale (“2D nanoscopy”). We show that the local response varies across a distance as small as 33 nm in our sample. Further, we report two-color pump–probe experiments using two independent NOPA beamlines. We extract local variations of the excited-state dynamics of a monolayered 2D material (WSe2) that we correlate with low-energy electron microscopy (LEEM) and reflectivity (LEER) measurements. Finally, we demonstrate the in-situ sample preparation capabilities for organic thin films and their characterization via spatially resolved electron diffraction and dark-field LEEM.
This dissertation employs gauge/gravity duality to investigate features
of ( 2 + 1 ) -dimensional quantum gravity in Anti-de Sitter space (AdS)
and its relation to conformal field theory (CFT) in 1 + 1 dimensions.
Concretely, we contribute to research on the frontier of gauge/gravity
with condensed matter as well as the frontier with quantum informa-
tion.
The first research topic of this thesis is motivated by the Kondo
model, which describes the screening of magnetic impurities in metals
by conduction electrons at low temperatures. This process has a de-
scription in the language of string theory via fluctuating surfaces in
spacetime, called branes. At high temperatures the unscreened Kondo
impurity is modelled by a stack of pointlike branes. At low tempera-
tures this stack condenses into a single spherical, two-dimensional brane
which embodies the screened impurity.
This thesis demonstrates how this condensation process is naturally
reinvoked in the holographic D1/D5 system. We find brane configu-
rations mimicking the Kondo impurities at high and low energies and
establish the corresponding brane condensation, where the brane grows
two additional dimensions. We construct supergravity solutions, which
fully take into account the effect of the brane on its surrounding space-
time before and after the condensation takes place. This enables us
to compute the full impurity entropies through which we confirm the
validity of the g-theorem.
The second research topic is rooted in the connection of geometry
with quantum information. The motivation stems from the “complexity
equals volume” proposal, which relates the volume of wormholes to
the cicruit complexity of a thermal quantum state. We approach this
proposal from a pragmatic point of view by studying the properties of
certain volumes in gravity and their description in the CFT.
We study subregion complexities, which are the volumes of the re-
gions subtended by Ryu-Takayanagi (RT) geodesics. On the gravity
side we reveal their topological properties in the vacuum and in ther-
mal states, where they turn out to be temperature independent. On the
field theory side we develop and proof a formula using kinematic space
which computes subregion complexities without referencing the bulk.
We apply our formula to global AdS 3 , the conical defect and a black
hole. While entanglement, i.e. minimal boundary anchored geodesics,
suffices to produce vacuum geometries, for the conical defect we also
need geodesics windings non-trivially around the singularity. The black
hole geometry requires additional thermal contributions.
Topologische Isolatoren gehören zu einer Klasse von Materialien, an deren Realisation im Rahmen der zweiten quantenmechanischen Revolution gearbeitet wird. Einerseits sind zahlreiche Fragestellungen zu diesen Materialen und deren Nutzbarmachung noch nicht beantwortet, andererseits treiben vielversprechende Anwendungen im Feld der Quantencomputer und Spintronik die Lösung dieser Fragen voran. Topologische Rand- bzw. Oberflächenzustände wurden für unterschiedlichste Materialien und Strukturen theoretisch vorhergesagt, so auch für GaSb/InAs Doppelquantenfilme und Bi2Se3. Trotz intensiver Forschungsarbeiten und großer Fortschritte bedürfen viele Prozesse v. a. im Bereich der Probenherstellung und Verarbeitung noch der Optimierung. Die vorliegende Arbeit präsentiert Ergebnisse zur Molekularstahlepitaxie, zur Probenfertigung sowie zu elektro-optisch modulierter Transportuntersuchung von GaSb/InAs Doppelquantenfilmen und der epitaktischen Fertigung von Bi2Se3 Nanostrukturen.
Im ersten Teil dieser Arbeit werden die Parameter zur Molekularstrahlepitaxie sowie die Anpassung der Probenfertigung von GaSb/InAs Doppelquantenfilmen an material- und untersuchungsbedingte Notwendigkeiten beschrieben. Dieser verbesserte Prozess ermöglicht die Fertigung quantitativ vergleichbarer Probenserien. Anschließend werden Ergebnisse für Strukturen mit variabler InAs Schichtdicke unter elektrostatischer Kontrolle mit einem Frontgate präsentiert. Auch mit verbessertem Prozess zeigten sich Leckströme zum Substrat. Diese erschweren eine elektrostatische Kontrolle über Backgates. Die erstmals durch optische Anregung präsentierte Manipulation der Ladungsträgerart sowie des Phasenzustandes in GaSb/InAs Doppelquantenfilmen bietet eine Alternative zu problembehafteten elektrostatisch betriebenen Gates.
Im zweiten Teil wird die epitaktische Herstellung von Bi2Se3 Nanostrukturen gezeigt. Mit dem Ziel, Vorteile aus dem erhöhten Oberfläche-zu-Volumen Verhältnis zu ziehen, wurden im Rahmen dieser Arbeit erstmals Bi2Se3 Nanodrähte und -flocken mittels Molekularstrahlepitaxie für die Verwendung als topologischer Isolator hergestellt.
Ein Quantensprung – Kapitel 1 führt über die umgangssprachliche Wortbedeutung des Quantensprungs und des damit verbundenen Modells der Quantenmechanik in das Thema. Die Anwendung dieses Modells auf Quanten-Ensembles und dessen technische Realisation wird heute als erste Quantenmechanische Revolution bezeichnet und ist aus unserem Alltag nicht mehr wegzudenken. Im Rahmen der zweiten Quantenmechanischen Revolution soll nun die Anwendung auf einzelne Zustände realisiert und technisch nutzbar gemacht werden. Hierbei sind topologische Isolatoren ein vielversprechender Baustein. Es werden das Konzept des topologischen Isolators sowie die Eigenschaften der beiden in dieser Arbeit betrachteten Systeme beschrieben: GaSb/InAs Doppelquantenfilme und Bi2Se3 Nanostrukturen.
GaSb/InAs Doppelquantenfilme
Kapitel 2 beschreibt die notwendigen physikalischen und technischen Grundlagen. Ausgehend von der Entdeckung des Hall-Effekts 1879 werden die Quanten-Hall-Effekte eingeführt. Quanten-Spin-Hall-Isolatoren oder allgemeiner topologische Isolatoren sind Materialien mit einem isolierenden Inneren, weisen an der Oberfläche aber topologisch geschützte Zustände auf. Doppelquantenfilme aus GaSb/InAs, die in AlSb gebettet werden, weisen – abhängig vom Aufbau der Heterostruktur – eine typische invertierte Bandstruktur auf und sind ein vielversprechender Kandidat für die Nutzbarmachung der topologischen Isolatoren. GaSb, InAs und AlSb gehören zur 6,1 Ångström-Familie, welche für ihre opto-elektronischen Eigenschaften bekannt ist und häufig verwendet wird. Die Eigenschaften sowie die technologischen Grundlagen der epitaktischen Fertigung von Heterostrukturen aus den Materialien der 6,1 Ångström-Familie mittels Molekularstrahlepitaxie werden besprochen. Abschließend folgen die Charakterisierungs- und Messmethoden. Ein Überblick über die Literatur zu GaSb/InAs Doppelquantenfilmen in Bezug auf topologische Isolatoren rundet dieses Kapitel ab.
Zu Beginn dieser Arbeit stellten Kurzschlusskanäle eine Herausforderung für die Detektion der topologischen Randkanäle dar. Kapitel 3 behandelt Lösungsansätze hierfür und beschreibt die Verbesserung der Herstellung von GaSb/InAs Doppelquantenfilm-Strukturen mit Blick auf die zukünftige Realisation topologischer Randkanäle. In Abschnitt 3.1 werden numerische Simulationen präsentiert, die sich mit der Inversion der elektronischen Niveaus in Abhängigkeit der GaSb und InAs Schichtdicken dGaSb und dInAs beschäftigen. Ein geeigneter Schichtaufbau für Strukturen mit invertierter Bandordnung liegt im Parameterraum von 8 nm ≾ dInAs ≾ 12 nm und 8 nm ≾ dGaSb ≾ 10 nm. Abschnitt 3.2 beschreibt die epitaktische Herstellung von GaSb/InAs Doppelquantenfilmen mittels Molekularstrahlepitaxie. Die Fertigung eines GaSb Quasisubstrats auf ein GaAs Substrat wird präsentiert und anschließend der Wechsel auf native GaSb Substrate mit einer reduzierten Defektdichte sowie reproduzierbar hoher Probenqualität begründet. Ein Wechseln von binärem AlSb auf gitterangepasstes AlAsSb erlaubt die Verwendung dickerer Barrieren. Versuche, eine hinlängliche Isolation des Backgates durch das Einbringen einer dickeren unteren Barriere zu erreichen, werden in diesem Abschnitt diskutiert. In Abschnitt 3.3 wird die Optimierung der Probenprozessierung gezeigt. Die Kombination zweier angepasster Ätzprozesse – eines trockenchemischen und eines sukzessive folgenden nasschemischen Schrittes – liefert zusammen mit der Entfernung von Oberflächenoxiden reproduzierbar gute Ergebnisse. Ein materialselektiver Ätzprozess mit darauffolgender direkter Kontaktierung des InAs Quantenfilmes liefert gute Kontaktwiderstände, ohne Kurzschlusskanäle zu erzeugen. Abschnitt 3.4 gibt einen kompakten Überblick, über den im weiteren Verlauf der Arbeit verwendeten „best practice“ Prozess.
Mit diesem verbesserten Prozess wurden Proben mit variabler InAs Schichtdicke gefertigt und bei 4,2 K auf ihre Transporteigenschaften hin untersucht. Dies ist in Kapitel 4 präsentiert und diskutiert. Abschnitt 4.1 beschreibt die Serie aus drei Proben mit GaSb/InAs Doppelquantenfilm in AlSb Matrix mit einer variablen InAs Schichtdicke. Die InAs Schichtdicke wurde über numerische Simulationen so gewählt, dass je eine Probe im trivialen Regime, eine im invertierten Regime und eine am Übergang liegt. Gezeigt werden in Kapitel 4.2 Magnetotransportmessungen für konstante Frontgatespannungen sowie Messungen mit konstantem Magnetfeld gegen die Frontgatespannung. Die Messungen bestätigen eine Fertigung quantitativ vergleichbarer Proben, zeigen aber auch, dass keine der Proben im topologischen Regime liegt. Hierfür kommen mehrere Ursachen in Betracht: Eine Überschätzung der Hybridisierung durch die numerische Simulation, zu geringe InAs Schichtdicken in der Fertigung oder ein asymmetrisches Verschieben mit nur einem Gate (Kapitel 4.3). Zur Reduktion der Volumenleitfähigkeit wurden Al-haltigen Schichten am GaSb/InAs Übergang eingebracht. Die erwartete Widerstandssteigerung konnte in ersten Versuchen nicht gezeigt werde.
Die in Kapitel 5 gezeigte optische Manipulation des dominanten Ladungsträgertyps der InAs/GaSb-Doppelquantentöpfe gibt eine zusätzliche Kontrollmöglichkeit im Phasendiagramm. Optische Anregung ermöglicht den Wechsel der Majoritätsladungsträger von Elektronen zu Löchern. Dabei wird ein Regime durchlaufen, in dem beide Ladungsträger koexistieren. Dies weist stark auf eine Elektron-Loch-Hybridisierung mit nichttrivialer topologischer Phase hin. Dabei spielen zwei unterschiedliche physikalische Prozesse eine Rolle, die analog eines Frontgates bzw. eines Backgates wirken. Der Frontgate Effekt beruht auf der negativ persistenten Photoleitfähigkeit, der Backgate Effekt fußt auf der Akkumulation von Elektronen auf der Substratseite. Das hier gezeigte optisch kontrollierte Verschieben der Zustände belegt die Realisation von opto-elektronischem Schalten zwischen unterschiedlichen topologischen Phasen. Dies zeigt die Möglichkeit einer optischen Kontrolle des Phasendiagramms der topologischen Zustände in GaSb/InAs Doppelquantenfilmen. In Abschnitt 5.1 wird die optische Verstimmung von GaSb/InAs Quantenfilmen gezeigt und erklärt. Sie wird in Abhängigkeit von der Temperatur, der Anregungswellenlänge sowie der Anregungsintensität untersucht. Kontrollversuche an Proben mit einem unterschiedlichen Strukturaufbau zeigen, dass das Vorhandensein eines Übergitters auf der Substratseite der Quantenfilmstruktur essentiell für die Entstehung der Backgate-Wirkung ist (Abschnitt 5.2). Abschließend werden in Abschnitt 5.3 die Erkenntnisse zur optischen Kontrolle zusammengefasst und deren Möglichkeiten, wie optisch definierte topologischen Phasen-Grenzflächen, diskutiert.
Bi2Se3 Nanostrukturen
Mit Blick auf die Vorteile eines erhöhten Oberfläche-zu-Volumen Verhältnisses ist die Verwendung von Nanostrukturen für das Anwendungsgebiet der dreidimensionalen topologischen Isolatoren effizient. Mit dem Ziel, diesen Effekt für die Realisation des topologischen Isolators in Bi2Se3 auszunutzen, wurde im Rahmen dieser Arbeit erstmalig das Wachstum von Bi2Se3 Nanodrähten und -flocken mit Molekularstrahlepitaxie realisiert. In Kapitel 6 werden technische und physikalische Grundlagen hierzu erläutert (Abschnitt 6.1). Ausgehend von einer Einführung in dreidimensionale topologische Isolatoren werden die Eigenschaften des topologischen Zustandes in Bi2Se3 gezeigt. Darauf folgen die Kristalleigenschaften von Bi2Se3 sowie die Erklärung des epitaktischen Wachstums von Nanostrukturen mit Molekularstrahlepitaxie. In Abschnitt 6.2 schließt sich die Beschreibung der epitaktischen Herstellung an. Die Kristallstruktur wurde mittels hochauflösender Röntgendiffraktometrie und Transmissionselektronenmikroskopie als Bi2Se3 identifiziert. Rasterelektronenmikroskopie-Aufnahmen zeigen Nanodrähte und Nanoflocken auf mit Gold vorbehandelten bzw. nicht mit Gold vorbehandelten Proben. Der Wachstumsmechanismus für Nanodrähte kann nicht zweifelsfrei definiert werden. Das Fehlen von Goldtröpfchen an der Drahtspitze legt einen wurzelbasierten Wachstumsmechanismus nahe (Abschnitt 6.3).
Neben dem Wasserstoffkern 1H können auch andere Kerne für die Magnetresonanztomographie (MRT) genutzt werden. Diese sogenannten X-Kerne können komplementäre Informationen zur klassischen 1H-MRT liefern und so das Anwendungsspektrum der MRT erweitern. Die Herausforderung bei der X-Kern-Bildgebung liegt zum großen Teil in dem intrinsisch niedrigen Signal-zu-Rauschen-Verhältnis (SNR), aber auch in den spezifischen Kerneigenschaften. Um X-Kern-Bildgebung optimal betreiben zu können, müssen daher Sende-/Empfangsspulen, Messsequenzen und -methoden auf den jeweiligen Kern angepasst werden. Im Fokus dieser Dissertation standen die beiden Kerne Natrium (23Na) und Fluor (19F), für die optimierte Hardware und Methoden entwickelt wurden.
23Na spielte in dieser Arbeit vor allem wegen seiner Funktion als Biomarker für Arthrose, einer degenerativen Gelenkserkrankung, eine Rolle. Hierbei ist insbesondere die quantitative Natriumbildgebung von Bedeutung, da sich mit ihr der Knorpelzustand auch im Zeitverlauf charakterisieren lässt. Für die quantitative Messung mittels MRT ist die Kenntnis des B1-Feldes der eingesetzten MR-Spule entscheidend, denn dieses kann die relative Signalintensität stark beeinflussen und so zu Fehlern in der Quantifizierung führen. Daher wurde eine Methode zur Bestimmung des B1-Feldes untersucht und entwickelt. Dies stellte aufgrund des niedrigen SNR und der kurzen sowie biexponentiellen T2-Relaxationszeit von 23Na eine Herausforderung dar. Mit einer retrospektiven Korrekturmethode konnte eine genaue und zugleich schnelle Korrekturmethode gefunden werden.
Für die 1H- und 23Na-Bildgebung am menschlichen Knieknorpel wurden zwei praxistaugliche, doppelresonante Quadratur-Birdcage-Resonatoren entwickelt, gebaut und charakterisiert. Der Vergleich der beiden Spulen bezüglich Sensitivität und Feldhomogenität zeigte, dass der Vier-Ring-Birdcage dem Alternating-Rungs-Birdcage für den vorliegenden Anwendungsfall überlegen ist. Die in vivo erzielte Auflösung und das SNR der 23Na-Bilder waren bei beiden Spulen für die Quantifizierung der Natriumkonzentration im Knieknorpel ausreichend. Hochauflösende anatomische 1H-Bilder konnten ohne Mittelungen aufgenommen werden.
In einer umfangreichen Multiparameter-MR-Tierstudie an Ziegen wurde der Verlauf einer chirurgisch induzierten Arthrose mittels 23Na- und 1H-Bildgebungsmethoden untersucht. Hierbei kamen dGEMRIC, T1ρ-Messung und quantitative Natrium-MRT zum Einsatz. Trotz des im Vergleich zum Menschen dünneren Ziegenknorpels, der niedrigen Feldstärke von 1,5 T und den auftretenden Ödemen konnten erstmals diese MR-Parameter über den Studienverlauf hinweg an den gleichen Versuchstieren und zu den gleichen Zeitpunkten ermittelt werden. Die Ergebnisse wurden verglichen und die ermittelten Korrelationen entsprechen den zugrundeliegenden biochemischen Mechanismen. Die im Rahmen dieser Studie entwickelten Methoden, Bildgebungsprotokolle und Auswertungen lassen sich auf zukünftige Humanstudien übertragen.
Die mit klinischen Bildgebungssequenzen nicht zugängliche kurze Komponente der biexponentiellen T2*-Relaxationszeit von 23Na konnte mittels einer radialen Ultra-Short-Echo-Time-Sequenz bestimmt werden. Hierzu wurde eine Multi-Echo-Sequenz mit einem quasizufälligen Abtastschema kombiniert. Hierdurch gelang es, die kurze und lange T2*-Komponente des patellaren Knorpels in vivo zu bestimmen.
19F wird in der MRT wegen seiner hohen relativen Sensitivität und seines minimalen, körpereigenen Hintergrundsignals als Marker eingesetzt. Zur Detektion der niedrigen in-vivo-Konzentrationen der Markersubstanzen werden hochsensitive Messspulen benötigt.
Für die 19F-Bildgebung an Mäusen wurde eine Birdcage-Volumenspule entwickelt, die sowohl für 19F als auch 1H in Quadratur betrieben werden kann, ohne Kompromisse in Sensitivität oder Feldhomogenität gegenüber einer monoresonanten Spule eingehen zu müssen. Dies gelang durch eine verschiebbare Hochfrequenzabschirmung, mit der die Resonanzfrequenz des Birdcage verändert werden kann. Es konnte weiterhin gezeigt werden, dass die Feldverteilungen bei 1H und 19F im Rahmen der Messgenauigkeit identisch sind und so der 1H-Kanal für die Pulskalibrierung und die Erstellung von B1-Karten für die 19F-Bildgebung genutzt werden kann. Hierdurch kann die Messzeit deutlich reduziert werden.
Ein grundsätzliches Problemfeld stellt die Korrelation unterschiedlicher Bildgebungsmodalitäten dar. In der MRT betrifft das häufig die Korrelation von in-/ex-vivo-MR-Daten und den dazugehörigen Lichtbildaufnahmen an histologischen Schnitten. In dieser Arbeit wurde erstmals erfolgreich eine 1H- und 19F-MR-Messung an einem histologischen Schnitt vorgenommen. Durch die Verwendung einer optimierten 1H/19F-Oberflächenspule konnte die 19F-Signalverteilung in einer dünnen Tumorscheibe in akzeptabler Messzeit aufgenommen werden. Da der gleiche Schnitt sowohl mit Fluoreszenzmikroskopie als auch mit MRT gemessen wurde, konnten Histologie und MR-Ergebnisse exakt korreliert werden.
Zusammenfassend konnten in dieser Arbeit durch Hardware- und Methodenentwicklung zahlreiche neue Aspekte der 19F- und 23Na-MRT beleuchtet werden und so zukünftige Anwendungsfelder erschlossen werden.
Die vorliegende Arbeit untersucht die Struktur und die Veränderung des akademischen Selbstkonzepts angehender Physiklehrkräfte. Als selbstbezogene Kognition wird es als eine Grundlage der professionellen Identität von Lehrkräften verstanden. Selbstkonzepte bilden sich aus der Kategorisierung selbstrelevanter Informationen, die eine Person in verschiedenen Kontexten sammelt, bewertet und interpretiert. Für angehende Lehrkräfte wird der professionelle Kontext durch die Struktur und die Inhalte des Lehramtsstudiums gebildet. Daraus folgt die erste zentrale Hypothese der Arbeit: Im akademischen Selbstkonzept angehender Physiklehrkräfte lassen sich drei Facetten empirisch trennen, die den inhaltlichen Domänen des Lehramtsstudiums entsprechen. Demnach strukturieren Studierende ihre Fähigkeitszuschreibungen in Bezug auf (1) die Fachwissenschaft Physik, (2) die Fachdidaktik Physik sowie (3) die Erziehungswissenschaften.
Konkrete Erfahrungen bilden als Quelle selbstrelevanter Informationen die Basis für den Aufbau bzw. die Veränderung von domänenspezifischen Selbstkonzeptfacetten. Sie stabilisieren das Selbstkonzept, falls sie im Einklang mit dem bisherigen Bild der Person von sich selbst stehen bzw. können eine Veränderung des Selbstkonzepts initiieren, wenn sie sich nicht konsistent in dieses Bild einfügen lassen. Vor diesem Hintergrund folgt die zweite zentrale Hypothese der vorliegenden Arbeit: Während der Praxisphasen des Studiums verändert sich das akademische Selbstkonzept der Studierenden.
Die Hypothesen werden mit Ansätzen der latenten Modellierung untersucht. Mittels konfirmatorischer Faktorenanalyse wird die empirische Trennbarkeit der drei angenommenen Facetten bestätigt. In einer querschnittlichen Betrachtung zeigt sich ein deutlicher Einfluss des Geschlechts der Studierenden auf den Zusammenhang zwischen ihrem fachdidaktischen Selbstkonzept und ihrer bisherigen Praxiserfahrung. Die längsschnittliche Analyse der Veränderung des Selbstkonzepts während einer zentralen fachdidaktischen Lehrveranstaltung mit ausgeprägten Praxisphasen (Lehr-Lern-Labor-Seminar) wird mit einem latenten Wachstumskurvenmodell untersucht. Das auf die Fachdidaktik Physik bezogene Selbstkonzept steigt während des Seminars leicht an, wenn die Studierenden zum Seminarbeginn bereits über Praxiserfahrung verfügten. Fehlt diese, so ist ein leichter Rückgang in der Ausprägung des Selbstkonzepts feststellbar, der für weibliche Studierende stärker ausfällt als für ihre männlichen Kommilitonen.
Mit den Befunden zu Struktur und Veränderung des akademischen Selbstkonzepts angehender Physiklehrkräfte trägt die vorliegende Arbeit dazu bei, die überwiegend qualitativen Analysen von Identitätsprozessen bei Studierenden durch den Einsatz eines theoretisch fundierten und klar umrissenen Konstrukts um eine quantitative Perspektive zu ergänzen.
The topic of this thesis is generalizations of the Anti de Sitter/Conformal Field Theory (AdS/CFT) correspondence, often referred to as holography, and their application to models relevant for condensed matter physics. A particular virtue of AdS/CFT is to map strongly coupled quantum field theories, for which calculations are inherently difficult, to more tractable classical gravity theories. I use this approach to study the crossover between Bose-Einstein condensation (BEC) and the Bardeen-Cooper-Schrieffer (BCS) superconductivity mechanism. I also study the phase transitions between the AdS black hole and AdS soliton spacetime in the presence of disorder. Moreover, I consider a holographic model of a spin impurity interacting with a strongly correlated electron gas, similar to the Kondo model.
In AdS/CFT, the BEC/BCS crossover is modeled by a soliton configuration in the dual geometry and we study the BEC and BCS limits. The backreaction of the matter field on the background geometry is considered, which provides a new approach to study the BEC/BCS crossover. The behaviors of some physical quantities such as depletion of charge density under different strength of backreaction are presented and discussed. Moreover, the backreaction enables us to obtain the effective energy density of the soliton configurations, which together with the surface tension of the solitons leads to an argument for the occurrence of so called snake instability for dark solitons, i.e. for the solitons to form a vortex-like structures.
Disordering strongly coupled and correlated quantum states of matter may lead to new insights into the physics of many body localized (MBL) strongly correlated states, which may occur in the presence of strong disorder. We are interested in potential insulator-metal transitions induced by disorder, and how disorder affects the Hawking-Page phase transition in AdS gravity in general. We introduce a metric ansatz and numerically construct the corresponding disordered AdS soliton and AdS black hole solutions, and discuss the calculation of the free energy in these states.
In the Kondo effect, the rise in resistivity in metals with scarce magnetic impurities at low temperatures can be explained by the RG flow of the antiferromagnetic coupling between the impurity and conduction electrons in CFT. The generalizations to SU(N) in the large N limit make the treatment amenable to the holographic approach. We add a Maxwell term to a previously existing holographic model to study the conductivity of the itinerant electrons. Our goal is to find the log(T) behavior in the DC resistivity. In the probe limit, we introduce junction conditions to connect fields crossing the defect. We then consider backreactions, which give us a new metric ansatz and new junction conditions for the gauge fields.
This publication is dedicated to investigate strong light-matter coupling with excitons in 2D materials. This work starts with an introduction to the fundamentals of excitons in 2D materials, microcavities and strong coupling in chapter 2. The experimental methods used in this work are explained in detail in chapter 3. Chapter 4 covers basic investigations that help to select appropriate materials and cavities for the following experiments. In chapter 5, results on the formation of exciton-polaritons in various materials and cavity designs are presented. Chapter 6 covers studies on the spin-valley properties of exciton-polaritons including effects such as valley polarization, valley coherence and valley-dependent polariton propagation. Finally, the formation of hybrid-polaritons and their condensation are presented in chapter 7.
Main focus of the present dissertation was to gain new insight about the interaction between magnetic ions and the conduction band of diluted magnetic semiconductors. This interaction in magnetic semiconductors with carrier concentrations near the metal-insulator transition (MIT) in an external magnetic field is barely researched. Hence, n-doped Zn1−xMnxSe:Cl samples were studied.
Resonant Raman spectroscopy was employed at an external magnetic field between 1T and 7T and a temperature of 1.5K.
The resulting magnetization of the material amplifies the splitting of states with opposite spins both in the valence and the conduction band. This is known as the "giant-Zeeman-effect".
In this thesis, the resonance of the electron spin flip process, i.e. the enhancement of the signal depending on the excitation energy, was used as an indicator to determine the density of states of the charge carriers. The measured resonance profiles of each sample showed a structure, which consist of two partially overlapping Gaussian curves. The analysis of the Gaussian curves revealed that their respective maxima are separated independent of the magnetic field strenght by about 5 meV, which matches the binding energy of the donor bound exciton (D0, X).
A widening of the full width at half maximum of the resonance profile was observed with increasing magnetic field. A detailed analysis of this behavior showed that the donor bound exciton spin flip resonance primarily accounts for the widening for all samples with doping concentrations below the metal insulator transition. A model was proposed for the interpretation of this observation.
This is based on the fundamental assumptions of a spatially random distribution of the manganese ions on the group-II sublattice of the ZnSe crystal and the finite extension of the excitons. Thus, each exciton covers an individual quantity of manganese ions, which manifest as a local manganese concentration. This local manganese concentration is normally distributed for a set of excitons and hence, the evaluation of the distribution allows the determination of exciton radii
Two trends were identified for the (D0, X) radii. The radius of the bound exciton decreases with increasing carrier concentration as well as with increasing manganese concentration. The determination of the (D0, X) radii by the use of resonant spin flip Raman spectroscopy and also the observation of the behavior of the (D0, X) radius depending on the carrier concentration, was achieved for the first time.
For all samples with carrier concentrations below the metal-insulator transition, the obtained (X0) radii are up to a factor of 5.9 larger than the respective (D0, X) radii. This observation is explained by the unbound character of the (X0).
For the first time, such an observation could be made by Raman spectroscopy.Beside the resonance studies, the shape of the Raman signal of the electron spin flip was analyzed. Thereby an obvious asymmetry of the signal, with a clear flank to lower Raman shifts, was observed. This asymmetry is most pronounced, when the spin flip process is excited near the (D0, X) resonance.
To explain this observation, a theoretical model was introduced in this thesis. Based on the asymmetry of the resonantly excited spin flip signal, it was possible to estimate the (D0, X) radii, too. At external magnetic fields between 1.25T and 7T, the obtained radii lie between 2.38nm and 2.75nm.
Additionally, the asymmetry of the electron spin flip signal was observed at different excitation energies. Here it is striking that the asymmetry vanishes with increasing excitation energy. At the highest excitation energy, where the electron spin flip was still detectable, the estimated radius of the exciton is 3.92nm.
Beside the observations on the electron spin flip, the resonance behavior of the spin flip processes in the d-shell of the incorporated Mn ions was studied in this thesis. This was performed for the direct Mn spin flip process as well as for the sum process of the longitudinal optical phonon with the Mn spin flip. For the Stokes and anti-Stokes direct spin flip process and for the Stokes sum process, each the resonance curve is described by considering only one resonance mechanism. In contrast, resonance for the sum process in which an anti-Stokes Mn spin flip is involved, consists of two partially overlapping resonances due to different mechanisms. A detailed analysis of this resonance profile showed that for (Zn,Mn)Se at the chosen experimental parameters, an
incoming and outgoing resonance can be achieved, separated by a few meV.
Hereby, at a specific excitation energy range and a high excitation power, it was possible to achieve an inversion of the anti-Stokes to Stokes intensity, because only the anti-Stokes Mn spin flip process was enhanced resonantly.
The rich phase diagram of transition metal oxides essentially roots in the many body physics arising from strong Coulomb interactions within the underlying electron system.
Understanding such electronic correlation effects remains challenging for modern solid state physics, therefore experimental data is required for further progress in the field. For this reason, spectroscopic investigations of prototypical correlated materials are the scope of this thesis. The experimental methods focus on photoelectron spectroscopy, and the test materials are the correlated metal SrVO\(_3\) and the Mott insulator LaTiO\(_3\), both of which are fabricated as high quality thin films.
In SrVO\(_3\) thin films, a reduction of the film thickness induces a dimensional crossover from the metallic into the Mott insulating phase. In this thesis, an extrinsic chemical contribution from a surface over-oxidation is revealed that emerges additionally to the intrinsic change of the effective bandwidth usually identified to drive the transition. The two contributions are successfully disentangled by applying a capping layer that prevents the oxidation, allowing for a clean view on the dimensional crossover in fully stoichiometric samples. Indeed, these stoichiometric layers exhibit a higher critical thickness for the onset of the metallic phase than the bare and therefore over-oxidized thin films.
For LaTiO\(_3\) thin films, the tendency to over-oxidize is even stronger. An uncontrolled oxygen diffusion from the substrate into the film is found to corrupt the electronic properties of LaTiO\(_3\) layers grown on SrTiO\(_3\). The Mott insulating phase is only detected in stoichiometric films fabricated on more suitable DyScO\(_3\) substrates. In turn, it is demonstrated that a \(controlled\) incorporation of excess oxygen ions by increasing the oxygen growth pressure is an effective way of \(p\) doping the material which is used to drive the band filling induced Mott transition.
Gaining control of the oxygen stoichiometry in both materials allows for a systematic investigation of correlation effects in general and of the Mott transition in particular. The investigations are realized by various photoelectron spectroscopy techniques that provide a deep insight into the electronic structure. Resonant photoemission not only gives access to the titanium and vanadium related partial density of states of the valence band features, but also shows how the corresponding signal is enhanced by tuning the photon energy to the \(L\) absorption threshold. The enhanced intensity turns out to be very helpful for probing the Fermi surface topology and band dispersions by means of angular-resolved photoemission. The resulting momentum resolved electronic structure verifies central points of the theoretical description of the Mott transition, viz. the renormalization of the band width and a constant Luttinger volume in a correlated metal as the Mott phase is approached.
In the past few years, two-dimensional quantum liquids with fractional excitations have been a topic of high interest due to their possible application in the emerging field of quantum computation and cryptography. This thesis is devoted to a deeper understanding of known and new fractional quantum Hall states and their stabilization in local models. We pursue two different paths, namely chiral spin liquids and fractionally quantized, topological phases.
The chiral spin liquid is one of the few examples of spin liquids with fractional statistics. Despite its numerous promising properties, the microscopic models for this state proposed so far are all based on non-local interactions, making the experimental realization challenging. In the first part of this thesis, we present the first local parent Hamiltonians, for which the Abelian and non-Abelian chiral spin liquids are the exact and, modulo a topological degeneracy, unique ground states. We have developed a systematic approach to find an annihilation operator of the chiral spin liquid and construct from it a many-body interaction which establishes locality. For various system sizes and lattice geometries, we numerically find largely gapped eigenspectra and confirm to an accuracy of machine precision the uniqueness of the chiral spin liquid as ground state of the respective system. Our results provide an exact spin model in which fractional quantization can be studied.
Topological insulators are one of the most actively studied topics in current condensed matter physics research. With the discovery of the topological insulator, one question emerged: Is there an interaction-driven set of fractionalized phases with time reversal symmetry? One intuitive approach to the theoretical construction of such a fractional topological insulator is to take the direct product of a fractional quantum Hall state and its time reversal conjugate. However, such states are well studied conceptually and do not lead to new physics, as the idea of taking a state and its mirror image together without any entanglement between the states has been well understood in the context of topological insulators. Therefore, the community has been looking for ways to implement some topological interlocking between different spin species. Yet, for all practical purposes so far, time reversal symmetry has appeared to limit the set of possible fractional states to those with no interlocking between the two spin species.
In the second part of this thesis, we propose a new universality class of fractionally quantized, topologically ordered insulators, which we name “fractional insulator”. Inspired by the fractional quantum Hall effect, spin liquids, and fractional Chern insulators, we develop a wave function approach to a new class of topological order in a two-dimensional crystal of spin-orbit coupled electrons. The idea is simply to allow the topological order to violate time reversal symmetry, while all locally observable quantities remain time reversal invariant. We refer to this situation as “topological time reversal symmetry breaking”. Our state is based on the Halperin double layer states and can be viewed as a two-layer system of an ↑-spin and a ↓-spin sphere. The construction starts off with Laughlin states for the ↑-spin and ↓-spin electrons and an interflavor term, which creates correlations between the two layers. With a careful parameter choice, we obtain a state preserving time reversal symmetry locally, and label it the “311-state”. For systems of up to six ↑-spin and six ↓-spin electrons, we manage to construct an approximate parent Hamiltonian with a physically realistic, local interaction.
Perovskite oxides are a very versatile material class with a large variety of outstanding physical properties.
A subgroup of these compounds particularly tempting to investigate are oxides involving high-\(Z\) elements, where spin-orbit coupling is expected to give rise to new intriguing phases and potential application-relevant functionalities. This thesis deals with the preparation and characterization of two representatives of high-\(Z\) oxide sample systems based on KTaO\(_3\) and BaBiO\(_3\).
KTaO\(_3\) is a band insulator with an electronic valence configuration of Ta 5\(d\)\(^0\) . It is shown that by pulsed laser deposition of a disordered LaAlO\(_3\) film on the KTaO\(_3\)(001) surface, through the creation of oxygen vacancies, a Ta 5\(d\)\(^{0+\(\delta\)}\) state is obtained in the upmost crystal layers of the substrate. In consequence a quasi two dimensional electron system (q2DES) with large spin-orbit coupling emerges at the heterointerface. Measurements of the Hall effect establish sheet carrier densities in the range of 0.1-1.2 10\(^{14}\) cm\(^2\), which can be controlled by the applied oxygen background pressure during deposition and the LaAlO\(_3\) film thickness. When compared to the prototypical oxide q2DESs based on SrTiO\(_3\) crystals, the investigated system exhibits exceptionally large carrier mobilities of up to 30 cm\(^2\)/Vs (7000 cm\(^2\)/Vs) at room temperature (below 10 K). Through a depth profiling by photoemission spectra of the Ta 4\(f\) core level it is shown that the majority of the Ta 5\(d\)\(^0\) charge carriers, consisting of mobile and localized electrons, is situated within 4 nm from the interface at low temperatures. Furthermore, the momentum-resolved electronic structure of the q2DES \(buried\) underneath the LaAlO\(_3\) film is probed by means of hard X-ray angle-resolved photoelectron spectroscopy. It is inferred that, due to a strong confinement potential of the electrons, the band structure of the system is altered compared to \(n\)-doped bulk KTO. Despite the constraint of the electron movement along one direction, the Fermi surface exhibits a clear three dimensional momentum dependence, which is related to a depth extension of the conduction channels of at least 1 nm.
The second material, BaBiO\(_3\), is a charge-ordered insulator, which has recently been predicted to emerge as a large-gap topological insulator upon \(n\)-doping. This study reports on the thin film growth of pristine BaBiO\(_3\) on Nb:SrTiO\(_3\)(001) substrates by means of pulsed laser deposition. The mechanism is identified that facilitates the development of epitaxial order in the heterostructure despite the presence of an extraordinary large lattice mismatch of 12 %. At the heterointerface, a structurally modified layer of about 1.7 nm thickness is formed that gradually relieves the in-plane strain and serves as the foundation of a relaxed BBO film. The thereupon formed lattice orders laterally in registry with the substrate with the orientation BaBiO\(_3\)(001)||SrTiO\(_3\)(001) by so-called domain matching, where 8 to 9 BaBiO\(_3\) unit cells align with 9 to 10 unit cells of the substrate. Through the optimization of the deposition conditions in regard to the cation stoichiometry and the structural lattice quality, BaBiO\(_3\) thin films with bulk-like electronic properties are obtained, as is inferred from a comparison of valence band spectra with density functional theory calculations. Finally, a spectroscopic survey of BaBiO\(_3\) samples of various thicknesses resolves that a recently discovered film thickness-controlled phase transition in BaBiO\(_3\) thin films can be traced back to the structural and concurrent stoichiometric modifications occuring in the initially formed lattice on top of the SrTiO\(_3\) substrate rather than being purely driven by the smaller spatial extent of the BBO lattice.
This thesis describes the growth and characterization of epitaxial MnSi thin films on Si substrates. The interest in this material system stems from the rich magnetic phase diagram resulting from the noncentrosymmetric B20 crystal structure. Here neighboring spins prefer a tilted relative arrangement in contrast to ferro- and antiferromagnets, which leads to a helical ground state where crystal and spin helix chirality are linked [IEM+85]. This link makes the characterization and control of the crystal chirality the main goal of this thesis.
After a brief description of the material properties and applied methods, the thesis itself is divided into four main parts. In the first part the advancement of the MBE growth process of MnSi on Si\((111)\) substrate as well as the fundamental structural characterization are described. Here the improvement of the substrate interface by an adjusted substrate preparation process is demonstrated, which is the basis for well ordered flat MnSi layers. On this foundation the influence of Mn/Si flux ratio and substrate temperature on the MnSi layer growth is investigated via XRD and clear boundaries to identify the optimal growth conditions are determined. The nonstoichiometric phases outside of this optimal growth window are identified as HMS and Mn\(_5\)Si\(_3\).
Additionally, a regime at high substrate temperatures and low Mn flux is discovered, where MnSi islands are growing incorporated in a Si layer, which could be interesting for further investigations as a size confinement can change the magnetic phase diagram [DBS+18]. XRD measurements demonstrate the homogeneity of the grown MnSi layers over most of the 3 inch wafer diameter and a small \(\omega\)-FWHM of about 0.02° demonstrates the high quality of the layers. XRD and TEM measurements also show that relaxation of the layers happens via misfit dislocations at the interface to the substrate.
The second part of the thesis is concerned with the crystal chirality. Here azimuthal \(\phi\)-scans of asymmetric XRD reflections reveal twin domains with a \(\pm\)30° rotation to the substrate. These twin domains seem to consist of left and right-handed MnSi, which are connected by a mirror operation at the \((\bar{1}10)\) plane. For some of the asymmetric XRD reflections this results in different intensities for the different twin domains, which reveals that one of the domains is rotated +30° and the other is rotated -30°. From XRD and TEM measurements an equal volume fraction of both domains is deduced. Different mechanisms to suppress these twin domains are investigated and successfully achieved with the growth on chiral Si surfaces, namely Si\((321)\) and Si\((531)\). Azimuthal \(\phi\)-scans of asymmetric XRD reflections demonstrate a suppression of up to 92%. The successful twin suppression is an important step in the use of MnSi for the proposed spintronics applications with skyrmions as information carriers, as discussed in the introduction.
Because of this achievement, the third part of the thesis on the magnetic properties of the MnSi thin films is not only concerned with the principal behavior, but also with the difference between twinned and twin suppressed layers. Magnetometry measurements are used to demonstrate, that the MnSi layers behave principally as expected from the literature. The analysis of saturation and residual magnetization hints to the twin suppression on Si\((321)\) and Si\((531)\) substrates and further investigations with more samples can complete this picture. For comparable layers on Si\((111)\), Si\((321)\) and Si\((531)\) the Curie-Weiss temperature is identical within 1 K and the critical field within 0.1 T.
Temperature dependent magnetoresistivity measurements also demonstrate the expected \(T^2\) behavior not only on Si\((111)\) but also on Si\((321)\) substrates. This demonstrates the successful growth of MnSi on Si\((321)\) and Si\((531)\) substrates. The latter measurements also reveal a residual resistivity of less then half for MnSi on Si\((321)\) in comparison to Si\((111)\). This can be explained with the reduced number of domain boundaries demonstrating the successful suppression of one of the twin domains. The homogeneity of the residual resistivity as well as the charge carrier density over a wide area of the Si\((111)\) wafer is also demonstrated with these measurements as well as Hall effect measurements.
The fourth part shows the AMR and PHE of MnSi depending on the angle between in plane current and magnetic field direction with respect to the crystal direction. This was proposed as a tool to identify skyrmions [YKT+15]. The influence of the higher C\(_{3\mathrm{v}}\) symmetry of the twinned system instead of the C\(_3\) symmetry of a B20 single crystal is demonstrated. The difference could serve as a useful additional tool to prove the twin suppression on the chiral substrates. But this is only possible for rotations with specific symmetry surfaces and not for the studied unsymmetrical Si\((321)\) surface. Measurements for MnSi layers on Si\((111)\) above the critical magnetic field demonstrate the attenuation of AMR and PHE parameters for increasing resistivity, as expected from literature [WC67]. Even if a direct comparison to the parameters on Si\((321)\) is not possible, the higher values of the parameters on Si\((321)\) can be explained considering the reduced charge carrier scattering from domain boundaries. Below the critical magnetic field, which would be the region where a skyrmion lattice could be expected, magnetic hysteresis complicates the analysis. Only one phase transition at the critical magnetic field can be clearly observed, which leaves the existence of a skyrmion lattice in thin epitaxial MnSi layers open.
The best method to solve this question seems to be a more direct approach in the form of Lorentz-TEM, which was also successfully used to visualize the skyrmion lattice for thin plates of bulk MnSi [TYY+12]. For the detection of in plane skyrmions, lamellas would have to be prepared for a side view, which seems in principle possible.
The demonstrated successful twin suppression for MnSi on Si\((321)\) and Si\((531)\) substrates may also be applied to other material systems.
Suppressing the twinning in FeGe on Si\((111)\) would lead to a single chirality skyrmion lattice near room temperature [HC12]. This could bring the application of skyrmions as information carriers in spintronics within reach.
Glossary:
MBE Molecular Beam Epitaxy
XRD X-Ray Diffraction
HMS Higher Manganese Silicide
FWHM Full Width Half Maximum
TEM Tunneling Electron Microscopy
AMR Anisotropic MagnetoResistance
PHE Planar Hall Effect
Bibliography:
[IEM+85] M. Ishida, Y. Endoh, S. Mitsuda, Y. Ishikawa, and M. Tanaka. Crystal Chirality and Helicity of the Helical Spin Density Wave in MnSi. II. Polarized Neutron Diffraction. Journal of the Physical Society of Japan, 54(8):2975, 1985.
[DBS+18] B. Das, B. Balasubramanian, R. Skomski, P. Mukherjee, S. R. Valloppilly, G. C. Hadjipanayis, and D. J. Sellmyer. Effect of size confinement on skyrmionic properties of MnSi nanomagnets. Nanoscale, 10(20):9504, 2018.
[YKT+15] T. Yokouchi, N. Kanazawa, A. Tsukazaki, Y. Kozuka, A. Kikkawa, Y. Taguchi, M. Kawasaki, M. Ichikawa, F. Kagawa, and Y. Tokura. Formation of In-plane Skyrmions in Epitaxial MnSi Thin Films as Revealed by Planar Hall Effect. Journal of the Physical Society of Japan, 84(10):104708, 2015.
[WC67] R. H. Walden and R. F. Cotellessa. Magnetoresistance of Nickel-Copper Single-Crystal Thin Films. Journal of Applied Physics, 38(3):1335, 1967.
[TYY+12] A. Tonomura, X. Yu, K. Yanagisawa, T. Matsuda, Y. Onose, N. Kanazawa, H. S. Park, and Y. Tokura. Real-Space Observation of Skyrmion Lattice in Helimagnet MnSi Thin Samples. Nano Letters, 12(3):1673, 2012.
[HC12] S. X. Huang and C. L. Chien. Extended Skyrmion Phase in Epitaxial FeGe(111) Thin Films. Physical Review Letters, 108(26):267201, 2012.
Für die Dosimetrie in der Strahlentherapie sind eine Reihe von Detektoren unterschiedlicher Bauform und Funktionsweise erhältlich. Detektoreigenschaften wie die Größe des aktiven Volumens,
energieabhängiges Ansprechen und Feldstörungen durch Bauteile beeinflussen ihr Signal, so dass kein idealer, universell einsetzbarer Detektor existiert. Insbesondere unter Messbedingungen, bei denen sich die Teilchenfluenz am Ort der Messung stark ändert, können die Detektorsignale stark von den wahren Dosisverhältnissen abweichen, z.B. in kleinen Feldern. Im Rahmen dieser Arbeit wurde das Ansprechen verschiedener Detektortypen in solchen Extremsituationen analysiert. Dioden und Ionisationskammern verschiedener Bauformen und Größen wurden in verschiedenen Experimenten gegen Gafchromic-EBT3-Film verglichen.
Das Ansprechen auf Streustrahlung konnte durch Ausblockung der Feldmitte untersucht werden,
wobei zusätzlich geometrisch der Volumeneffekt korrigiert wurde. Dabei zeigte sich teils ein starkes Überansprechen. Ferner wurde gezeigt, dass die bei der Messung von Querprofilen, also sowohl in der Feldmitte, in Bereichen starker Dosisgradienten und außerhalb des Nutzfeldes, auftretenden Abweichungen durch die Verwendung einer Detektorkombination kompensiert werden können. Somit verbessert sich auch die Übereinstimmung mit den auf Film gemessenen Profilen.
Für Ionisationskammern wurden effektive Messpunkte bestimmt, wobei die notwendigen Verschiebungen teils deutlich geringer waren als in den gängigen Dosimetrieprotokollen empfohlen. Insbesondere für kleinvolumige Ionisationskammern mit geringen Signalstärken kam es bei der Verwendung von im Bestrahlungsraum positionierten Elektrometern zu Störeinflüssen durch Streustrahlung. Diese Effekte konnten durch Reduzierung der das Elektrometer erreichenden Streustrahlung verringert werden.
Anschließend ließ sich das Ansprechen im Aufbaubereich vergleichen. Hier zeigten sich insbesondere Unterschiede zwischen den Detektortypen, aber auch zwischen den verwendeten Polaritäten der Kammerspannung. Durch die Verwendung einer Bleifolie wurde der Einfluss von
Elektronenkontamination herausgefiltert. Zusätzlich wurden das Ansprechen verschiedener Detektoren im oberflächennahen Bereich auch bei angelegten magnetischen Feldern von Feldstärken
bis zu 1,1 T untersucht.
In allen Fällen wurden Detektorgebrauchsgrenzen aufgezeigt. Die Erkenntnisse ermöglichen es, in den verschiedenen Extremsituationen geeignete Detektoren zu wählen, und eine Abschätzung der residualen Abweichungen durchzuführen. Gezeigt wurde auch, wo eine Detektorkombination die Genauigkeit verbessern kann.