@phdthesis{Winnerlein2020, author = {Winnerlein, Martin}, title = {Molecular Beam Epitaxy and Characterization of the Magnetic Topological Insulator (V,Bi,Sb)\(_2\)Te\(_3\)}, doi = {10.25972/OPUS-21166}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-211666}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2020}, abstract = {The subject of this thesis is the fabrication and characterization of magnetic topological insulator layers of (V,Bi,Sb)\(_2\)Te\(_3\) exhibiting the quantum anomalous Hall effect. A major task was the experimental realization of the quantum anomalous Hall effect, which is only observed in layers with very specific structural, electronic and magnetic properties. These properties and their influence on the quantum anomalous Hall effect are analyzed in detail. First, the optimal conditions for the growth of pure Bi\(_2\)Te\(_3\) and Sb\(_2\)Te\(_3\) crystal layers and the resulting structural quality are studied. The crystalline quality of Bi\(_2\)Te\(_3\) improves significantly at higher growth temperatures resulting in a small mosaicity-tilt and reduced twinning defects. The optimal growth temperature is determined as 260\(^{\circ}\)C, low enough to avoid desorption while maintaining a high crystalline quality. The crystalline quality of Sb\(_2\)Te\(_3\) is less dependent on the growth temperature. Temperatures below 230\(^{\circ}\)C are necessary to avoid significant material desorption, though. Especially for the nucleation on Si(111)-H, a low sticking coefficient is observed preventing the coalescence of islands into a homogeneous layer. The influence of the substrate type, miscut and annealing sequence on the growth of Bi\(_2\)Te\(_3\) layers is investigated. The alignment of the layer changes depending on the miscut angle and annealing sequence: Typically, layer planes align parallel to the Si(111) planes. This can enhance the twin suppression due to transfer of the stacking order from the substrate to the layer at step edges, but results in a step bunched layer morphology. For specific substrate preparations, however, the layer planes are observed to align parallel to the surface plane. This alignment avoids displacement at the step edges, which would cause anti-phase domains. This results in narrow Bragg peaks in XRD rocking curve scans due to long-range order in the absence of anti-phase domains. Furthermore, the use of rough Fe:InP(111):B substrates leads to a strong reduction of twinning defects and a significantly reduced mosaicity-twist due to the smaller lattice mismatch. Next, the magnetically doped mixed compound V\(_z\)(Bi\(_{1-x}\)Sb\(_x\))\(_{2-z}\)Te\(_3\) is studied in order to realize the quantum anomalous Hall effect. The addition of V and Bi to Sb\(_2\)Te\(_3\) leads to efficient nucleation on the Si(111)-H surface and a closed, homogeneous layer. Magneto-transport measurements of layers reveal a finite anomalous Hall resistivity significantly below the von Klitzing constant. The observation of the quantum anomalous Hall effect requires the complete suppression of parasitic bulklike conduction due to defect induced carriers. This can be achieved by optimizing the thickness, composition and growth conditions of the layers. The growth temperature is observed to strongly influence the structural quality. Elevated temperatures result in bigger islands, improved crystallographic orientation and reduced twinning. On the other hand, desorption of primarily Sb is observed, affecting the thickness, composition and reproducibility of the layers. At 190\(^{\circ}\)C, desorption is avoided enabling precise control of layer thickness and composition of the quaternary compound while maintaining a high structural quality. It is especially important to optimize the Bi/Sb ratio in the (V,Bi,Sb)\(_2\)Te\(_3\) layers, since by alloying n-type Bi\(_2\)Te\(_3\) and p-type Sb\(_2\)Te\(_3\) charge neutrality is achieved at a specific mixing ratio. This is necessary to shift the Fermi level into the magnetic exchange gap and fully suppress the bulk conduction. The Sb content x furthermore influences the in-plane lattice constant a significantly. This is utilized to accurately determine x even for thin films below 10 nm thickness required for the quantum anomalous Hall effect. Furthermore, x strongly influences the surface morphology: with increasing x the island size decreases and the RMS roughness increases by up to a factor of 4 between x = 0 and x = 1. A series of samples with x varied between 0.56-0.95 is grown, while carefully maintaining a constant thickness of 9 nm and a doping concentration of 2 at.\% V. Magneto-transport measurements reveal the charge neutral point around x = 0.86 at 4.2 K. The maximum of the anomalous Hall resistivity of 0.44 h/e\(^2\) is observed at x = 0.77 close to charge neutrality. Reducing the measurement temperature to 50 mK significantly increases the anomalous Hall resistivity. Several samples in a narrow range of x between 0.76-0.79 show the quantum anomalous Hall effect with the Hall resistivity reaching the von Klitzing constant and a vanishing longitudinal resistivity. Having realized the quantum anomalous Hall effect as the first group in Europe, this breakthrough enabled us to study the electronic and magnetic properties of the samples in close collaborations with other groups. In collaboration with the Physikalisch-Technische Bundesanstalt high-precision measurements were conducted with detailed error analysis yielding a relative de- viation from the von Klitzing constant of (0.17 \(\pm\) 0.25) * 10\(^{-6}\). This is published as the smallest, most precise value at that time, proving the high quality of the provided samples. This result paves the way for the application of magnetic topological insulators as zero-field resistance standards. Non-local magneto-transport measurements were conducted at 15 mK in close collaboration with the transport group in EP3. The results prove that transport happens through chiral edge channels. The detailed analysis of small anomalies in transport measurements reveals instabilities in the magnetic phase even at 15 mK. Their time dependent nature indicates the presence of superparamagnetic contributions in the nominally ferromagnetic phase. Next, the influence of the capping layer and the substrate type on structural properties and the impact on the quantum anomalous Hall effect is investigated. To this end, a layer was grown on a semi-insulating Fe:InP(111)B substrate using the previously optimized growth conditions. The crystalline quality is improved significantly with the mosaicity twist reduced from 5.4\(^{\circ}\) to 1.0\(^{\circ}\). Furthermore, a layer without protective capping layer was grown on Si and studied after providing sufficient time for degradation. The uncapped layer on Si shows perfect quantization, while the layer on InP deviates by about 5\%. This may be caused by the higher crystalline quality, but variations in e.g. Sb content cannot be ruled out as the cause. Overall, the quantum anomalous Hall effect seems robust against changes in substrate and capping layer with only little deviations. Furthermore, the dependence of the quantum anomalous Hall effect on the thickness of the layers is investigated. Between 5-8 nm thickness the material typically transitions from a 2D topological insulator with hybridized top and bottom surface states to a 3D topological insulator. A set of samples with 6 nm, 8 nm, and 9 nm thickness exhibits the quantum anomalous Hall effect, while 5 nm and 15 nm thick layers show significant bulk contributions. The analysis of the longitudinal and Hall conductivity during the reversal of magnetization reveals distinct differences between different thicknesses. The 6 nm thick layer shows scaling consistent with the integer quantum Hall effect, while the 9 nm thick layer shows scaling expected for the topological surface states of a 3D topological insulator. The unique scaling of the 9 nm thick layer is of particular interest as it may be a result of axion electrodynamics in a 3D topological insulator. Subsequently, the influence of V doping on the structural and magnetic properties of the host material is studied systematically. Similarly to Bi alloying, increased V doping seems to flatten the layer surface significantly. With increasing V content, Te bonding partners are observed to increase simultaneously in a 2:3 ratio as expected for V incorporation on group-V sites. The linear contraction of the in-plane and out-of-plane lattice constants with increasing V doping is quantitatively consistent with the incorporation of V\(^{3+}\) ions, possibly mixed with V\(^{4+}\) ions, at the group-V sites. This is consistent with SQUID measurements showing a magnetization of 1.3 \(\mu_B\) per V ion. Finally, magnetically doped topological insulator heterostructures are fabricated and studied in magneto-transport. Trilayer heterostructures with a non-magnetic (Bi,Sb)\(_2\)Te\(_3\) layer sandwiched between two magnetically doped layers are predicted to host the axion insulator state if the two magnetic layers are decoupled and in antiparallel configuration. Magneto-transport measurements of such a trilayer heterostructure with 7 nm undoped (Bi,Sb)\(_2\)Te\(_3\) between 2 nm thick layers doped with 1.5 at.\% V exhibit a zero Hall plateau representing an insulating state. Similar results in the literature were interpreted as axion insulator state, but in the absence of a measurement showing the antiparallel magnetic orientation other explanations for the insulating state cannot be ruled out. Furthermore, heterostructures including a 2 nm thin, highly V doped layer region show an anomalous Hall effect of opposite sign compared to previous samples. A dependency on the thickness and position of the doped layer region is observed, which indicates that scattering at the interfaces causes contributions to the anomalous Hall effect of opposite sign compared to bulk scattering effects. Many interesting phenomena in quantum anomalous Hall insulators as well as axion insulators are still not unambiguously observed. This includes Majorana bound states in quantum anomalous Hall insulator/superconductor hybrid systems and the topological magneto-electric effect in axion insulators. The limited observation temperature of the quantum anomalous Hall effect of below 1 K could be increased in 3D topological insulator/magnetic insulator heterostructures which utilize the magnetic proximity effect. The main achievement of this thesis is the reproducible growth and characterization of (V,Bi,Sb)2Te3 layers exhibiting the quantum anomalous Hall effect. The detailed study of the structural requirements of the quantum anomalous Hall effect and the observation of the unique axionic scaling behavior in 3D magnetic topological insulator layers leads to a better understanding of the nature of this new quantum state. The high-precision measurements of the quantum anomalous Hall effect reporting the smallest deviation from the von Klitzing constant are an important step towards the realization of a zero-field quantum resistance standard.}, subject = {Bismutverbindungen}, language = {en} } @phdthesis{Anneser2020, author = {Anneser, Katrin}, title = {Elektrochemische Doppelschichtkondensatoren zur Stabilisierung fluktuierender photovoltaischer Leistung}, doi = {10.25972/OPUS-19933}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-199339}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2020}, abstract = {Der Ausbau der regenerativen Energiequellen f{\"u}hrt vermehrt zu unvorhersehbaren Schwankungen der erzeugten Leistung, da Windkraft und Photovoltaik von nat{\"u}rlichen Bedingungen abh{\"a}ngen. Gerade Kurzzeitfluktuationen im Sekunden- bis Minutenbereich, die bei Solarzellen durch die Verschattung von vor{\"u}berziehenden Wolken zustande kommen, wird bislang wenig Beachtung geschenkt. Kurzzeitspeicher m{\"u}ssen eine hohe Zyklenstabilit{\"a}t aufweisen, um zur Gl{\"a}ttung dieser Leistungsfluktuationen in Frage zu kommen. Im Rahmen der vorliegenden Dissertation wurden elektrochemische Doppelschichtkondensatoren f{\"u}r die Kopplung mit Siliziumsolarzellen und organischen Solarmodulen mit Hilfe von Simulationen und Messungen untersucht. Zus{\"a}tzlich wurden grundlegende Fragestellungen zur Prozessierung und Alterung von Doppelschichtkondensatoren im Hinblick auf ein in der Literatur bereits diskutiertes System betrachtet, das beide Komponenten in einem Bauteil integriert - den sogenannten photocapacitor. Um die Druckbarkeit des gesamten elektrochemischen Doppelschichtkondensators zu erm{\"o}glichen, wurde der konventionell verwendete Fl{\"u}ssigelektrolyt durch einen Polymer-Gel-Elektrolyten auf Basis von Polyvinylalkohol und einer S{\"a}ure ersetzt. Durch eine Verbesserung der Prozessierung konnte ein gr{\"o}ßerer Anteil der spezifischen Fl{\"a}che der por{\"o}sen Kohlenstoffelektroden vom Elektrolyten benetzt und somit zur Speicherung genutzt werden. Die Untersuchungen zeigen, dass mit Polymer-Gel-Elektrolyten {\"a}hnliche Kapazit{\"a}ten erreicht werden wie mit Fl{\"u}ssigelektrolyten. Im Hinblick auf die Anwendung im gekoppelten System muss der elektrochemische Doppelschichtkondensator den gleichen Umweltbedingungen hinsichtlich Temperatur und Luftfeuchte standhalten wie die Solarzelle. Hierzu wurden umfangreiche Alterungstests durchgef{\"u}hrt und festgestellt, dass die Kapazit{\"a}t zwar bei Austrocknung des wasserhaltigen Polymer-Gel-Elektrolyten sinkt, bei einer Wiederbefeuchtung aber auch eine Regeneration des Speichers erfolgt. Zur passenden Auslegung des elektrochemischen Doppelschichtkondensators wurde eine detaillierte Analyse der Leistungsfluktuationen durchgef{\"u}hrt, die mit einem eigens entwickelten MPP-Messger{\"a}t an organischen Solarmodulen gemessen wurden. Anhand der Daten wurde analysiert, welche Energiemengen f{\"u}r welche Zeit im Kurzzeitspeicher zwischengespeichert werden m{\"u}ssen, um eine effiziente Gl{\"a}ttung der ins Netz einzuspeisenden Leistung zu erreichen. Aus der Statistik der Fluktuationen wurde eine Kapazit{\"a}t berechnet, die als Richtwert in die Simulationen einging und dann mit anderen Kapazit{\"a}ten verglichen wurde. Neben einem idealen MPP-Tracking f{\"u}r verschiedene Arten von Solarzellen und Beleuchtungsprofilen konnte die Simulation auch die Kopplung aus Solarzelle und elektrochemischem Doppelschichtkondensator mit zwei verschiedenen Betriebsstrategien nachbilden. Zum einen wurde ein fester Lastwiderstand genutzt, zum anderen eine Zielspannung f{\"u}r den Kurzzeitspeicher und somit auch die Solarzelle vorgegeben und der Lastwiderstand variabel so angepasst, dass die Zielspannung gehalten wird. Beide Betriebsmethoden haben einen Energieverlust gegen{\"u}ber der MPP-getrackten Solarzelle zu verzeichnen, f{\"u}hren aber zu einer Gl{\"a}ttung der Leistung des gekoppelten Systems. Die Simulation konnte f{\"u}r Siliziumsolarzellen mit einem Demonstratorversuch im Labor und f{\"u}r organische Solarzellen unter realen Bedingungen validiert werden. Insgesamt ergibt sich eine vielversprechende Gl{\"a}ttung der Leistungsfluktuationen von Solarzellen durch den Einsatz von elektrochemischen Doppelschichtkondensatoren.}, subject = {Energie}, language = {de} } @phdthesis{Halbig2019, author = {Halbig, Benedikt}, title = {Surface Raman Spectroscopy on Ordered Metal Adsorbates on Semiconductor Substrates and Thin Intermetallic Films}, doi = {10.25972/OPUS-18138}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-181385}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2019}, abstract = {Surface systems attract great scientific attention due to novel and exotic properties. The atomically structured surfaces lead to a reduced dimensionality which alters electronic correlations, vibrational properties, and their impact on each other. The emerging physical phenomena are not observed for related bulk materials. In this thesis, ordered (sub)monolayers of metal atoms (Au and Sn) on semiconductor substrates (Si(111) and Ge(111)) and ultrathin intermetallic films (CePt5 and LaPt5) on metal substrate (Pt(111)) are investigated by polarized in situ surface Raman spectroscopy. The surface Raman spectra exhibit features of specific elementary excitations like surface phonons and electronic excitations, which are suitable to gain fundamental insights into the surface systems. The Au-induced surface reconstructions (5x2) and (r3xr3) constitute quasi-one- and two-dimensional Au structures on the Si(111) substrate, respectively. The new reconstruction-related Raman peaks are analyzed with respect to their polarization and temperature behavior. The Raman results are combined with firstprinciples calculations to decide between different proposed structural models. The Au-(5x2)/Si(111) reconstruction is best described by the model of Kwon and Kang, while for Au-(r3xr3)/Si(111) the conjugate honeycomb-chained-trimer model is favored. The Sn-induced reconstructions with 1/3 monolayer on Ge(111) and Si(111) are investigated to reveal their extraordinary temperature behavior. Specific surface phonon modes are identified that are predicted within the dynamical fluctuation model. Contrary to Sn/Si(111), the corresponding vibrational mode of Sn/Ge(111) exhibits a nearly harmonic character. The reversible structural phase transition of Sn/Ge(111) from (r3xr3) to (3x3) is observed, while no phase transition is apparent for Sn/Si(111). Moreover, Raman spectra of the closely related systems Sn-(2r3x2r3)/Si(111) and thin films of a-Sn as well as the clean semiconductor surfaces Si(111)-(7x7) and Ge(111)-c(2x8) are evaluated and compared. The CePt5/Pt(111) system hosts 4f electrons whose energy levels are modified by the crystal field and are relevant for a description of the observed Kondo physics. In contrast, isostructural LaPt5/Pt(111) has no 4f electrons. For CePt5/Pt(111), distinct Raman features due to electronic Raman scattering can be unambiguously related to transitions between the crystal-field states which are depth-dependent. This assignment is supported by comparison to LaPt5/Pt(111) and group theoretical considerations. Furthermore, the vibrational properties of CePt5 and LaPt5 reveal interesting similarities but also striking differences like an unusual temperature shift of a vibration mode of CePt5, which is related to the influence of 4f electrons.}, subject = {Raman-Spektroskopie}, language = {en} } @phdthesis{Schlereth2020, author = {Schlereth, Raimund}, title = {New techniques and improvements in the MBE growth of Hg-containing narrow gap semiconductors}, doi = {10.25972/OPUS-20079}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-200790}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2020}, abstract = {The subject of this thesis is the growth of Hg\(_{1-x}\)Cd\(_2\)Te layers via molecular beam epitaxy (MBE). This material system gives rise to a number of extraordinary physical phenomena related to its electronic band structure and therefore is of fundamental interest in research. The main results can be divided into three main areas, the implementation of a temperature measurement system based on band edge thermometry (BET), improvements of CdTe virtual substrate growth and the investigation of Hg\(_{1-x}\)Cd\(_2\)Te for different compositions.}, subject = {Halbleiter}, language = {en} } @phdthesis{Langer2020, author = {Langer, Fabian}, title = {Wachstum und Charakterisierung von 1,0 eV GaInNAs-Halbleitern f{\"u}r die Anwendung in Mehrfachsolarzellen}, doi = {10.25972/OPUS-20088}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-200881}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2020}, abstract = {Im Rahmen dieser Arbeit wurden GaInP/GaAs/GaInNAs 3J-Mehrfachsolarzellen in einem MBE/MOVPE-Hybridprozess hergestellt und untersucht. Der verwendete Hybridprozess, bei dem nur die GaInNAs-Teilsolarzelle mittels MBE hergestellt wird, kombiniert diese beiden Technologien und setzt sie entsprechend ihrer jeweiligen Vorteile ein. Die gezeigten Ergebnisse best{\"a}tigen grunds{\"a}tzlich die Machbarkeit des Hybridprozesses, denn eine Degradation des mittels MBE hergestellten GaInNAs-Materials durch die Atmosph{\"a}re im MOVPE-Reaktor konnte nicht festgestellt werden. Dieses Resultat wurde von im Hybridprozess hergestellten 3J-Mehrfachsolarzellen, die GaInNAs-Teilsolarzellen enthalten, bekr{\"a}ftigt. Die offene Klemmspannung einer gezeigten Solarzelle erreichte bereits 2,59 V (AM1.5d) bzw. 2,48 V (AM0) und liegt damit jeweils {\"u}ber einer als Referenz hergestellten 2J-Mehrfachsolarzelle ohne GaInNAs. Die mittlere interne Quanteneffizienz der enthaltenen GaInNAs-Teilsolarzelle liegt bei 79 \%. Die Berechnungen auf Grundlage dieser Effizienz unter Beleuchtung mit AM1.5d und unter Beleuchtung mit AM0 zeigten, dass nicht die enthaltene GaInNAs-Teilsolarzelle Strom limitierend wirkt, sondern die mittels MOVPE gewachsene GaInP-Teilsolarzelle. Die experimentell bestimmte Kurzschlussstromdichte der hergestellten Mehrfachsolarzelle ist wegen dieser Limitierung etwas geringer als die der 2J-Referenzsolarzelle. Der MOVPE-{\"U}berwachsvorgang bietet zwar noch weiteres Verbesserungspotential, aber es ist naheliegend, dass der Anwachsvorgang auf dem MBE-Material soweit optimiert werden kann, dass die aufgewachsenen GaInP- und GaAs-Schichten frei von Degradation bleiben. Damit bietet der Hybridprozess perspektivisch das Potential g{\"u}nstigere Produktionskosten in der Epitaxie von Mehrfachsolarzellen mit verd{\"u}nnten Nitriden zu erreichen als es ausschließlich mittels MBE m{\"o}glich ist. Im Vorfeld zur Herstellung der 3J-Mehrfachsolarzellen wurden umfassende Optimierungsarbeiten des MBE-Prozesses zur Herstellung der GaInNAs-Teilsolarzelle durchgef{\"u}hrt. So wurde insbesondere festgestellt, dass das As/III-Verh{\"a}ltnis w{\"a}hrend dem Wachstum einen entscheidenden Einfluss auf die elektrisch aktive Dotierung des GaInNAs-Materials besitzt. Die elektrisch aktive Dotierung wiederum beeinflusst sehr stark die Ausdehnung der Raumladungszone in den als p-i-n-Struktur hergestellten GaInNAs-Solarzellen und hat damit einen direkten Einfluss auf deren Stromerzeugung. In der Tendenz zeigte sich eine Zunahme der Stromerzeugung der GaInNAs-Teilsolarzellen bei einer gleichzeitigen Abnahme ihrer offenen Klemmspannung, sobald das As/III-Verh{\"a}ltnis w{\"a}hrend des Wachstums reduziert wurde. Durch eine sehr exakte Kalibration des As/III-Verh{\"a}ltnisses konnte ein bestm{\"o}glicher Kompromiss zwischen offener Klemmspannung und Stromerzeugung gefunden werden. Eine gezeigte GaInNAs-Einfachsolarzelle erreichte eine mittlere interne Quanteneffizienz von 88 \% und eine offene Klemmspannung von 341 mV (AM1.5d) bzw. 351 mV (AM0). Berechnungen auf Grundlage der Quanteneffizienz ergaben, dass diese Solarzelle integriert in eine 3J-Mehrfachsolarzelle unter dem Beleuchtungsspektrum AM1.5g eine Stromdichte von 14,2 mA/cm^2 und unter AM0 von 17,6 mA/cm^2 erzeugen w{\"u}rde. Diese Stromdichten sind so hoch, dass diese GaInNAs-Solarzelle die Stromproduktion der GaInP- und GaAs-Teilsolarzellen in einer g{\"a}ngigen Mehrfachsolarzelle erreicht und keine Ladungstr{\"a}gerverluste auftreten w{\"u}rden. Aufgrund ihrer h{\"o}heren offenen Klemmspannung gegen{\"u}ber einer Ge-Teilsolarzelle bietet diese GaInNAs-Teilsolarzelle das Potential die Effizienz der Mehrfachsolarzelle zu steigern. Messungen der Dotierkonzentration in der GaInNAs-Schicht dieser Solarzelle ergaben extrem geringe Werte im Bereich von 1x10^14 1/cm^3 bis 1x10^15 1/cm^3 (p-Leitung). In Erg{\"a}nzung zu den Optimierungen des As/III-Verh{\"a}ltnisses konnte gezeigt werden, dass sich ein {\"U}bergang von p- zu n-Leitung im GaInNAs mit der Verringerung des As/III-Verh{\"a}ltnisses erzeugen l{\"a}sst. Nahe des {\"U}bergangsbereiches wurden sehr geringe Dotierungen erreicht, die sich durch eine hohe Stromproduktion aufgrund der Ausbildung einer extrem breiten Verarmungszone gezeigt haben. Durch eine reduzierte offene Klemmspannung der bei relativ geringen As/III-Verh{\"a}ltnissen hergestellten Solarzellen mit n-leitendem GaInNAs konnte auf das Vorhandensein von elektrisch aktiven Defekten geschlossen werden. Generell konnten die gemessenen elektrisch aktiven Dotierkonzentrationen im Bereich von {\"u}blicherweise 10^16 1/cm^3 mit hoher Wahrscheinlichkeit auf elektrisch aktive Kristalldefekte im GaInNAs zur{\"u}ckgef{\"u}hrt werden. Eine Kontamination des Materials mit Kohlenstoffatomen in dieser Gr{\"o}ßenordnung wurde ausgeschlossen.}, subject = {Mehrfach-Solarzelle}, language = {de} } @phdthesis{Kreikenbohm2019, author = {Kreikenbohm, Annika Franziska Eleonore}, title = {Classifying the high-energy sky with spectral timing methods}, doi = {10.25972/OPUS-19205}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-192054}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2019}, abstract = {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.}, subject = {Astronomie}, language = {en} } @phdthesis{Goetz2019, author = {G{\"o}tz, Sebastian Reinhold}, title = {Nonlinear spectroscopy at the diffraction limit: probing ultrafast dynamics with shaped few-cycle laser pulses}, doi = {10.25972/OPUS-19213}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-192138}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2019}, abstract = {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-P{\´e}rot-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.}, subject = {Ultrakurzzeitspektroskopie}, language = {en} } @phdthesis{Gabel2019, author = {Gabel, Judith}, title = {Interface Engineering of Functional Oxides: A Photoemission Study}, doi = {10.25972/OPUS-19227}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-192275}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2019}, abstract = {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.}, subject = {{\"U}bergangsmetalloxide}, language = {en} } @phdthesis{Knapp2019, author = {Knapp, Alexander Gerhard}, title = {Resonant Spin Flip Raman-Spectroscopy of Electrons and Manganese-Ions in the n-doped Diluted Magnetic Semiconductor (Zn,Mn)Se:Cl}, doi = {10.25972/OPUS-18609}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-186099}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2019}, abstract = {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.}, subject = {Raman-Spektroskopie}, language = {en} } @phdthesis{Ames2015, author = {Ames, Christopher}, title = {Molecular Beam Epitaxy of 2D and 3D HgTe, a Topological Insulator}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-151136}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2015}, abstract = {In the present thesis the MBE growth and sample characterization of HgTe structures is investigated and discussed. Due to the first experimental discovery of the quantum Spin Hall effect (QSHE) in HgTe quantum wells, this material system attains a huge interest in the spintronics society. Because of the long history of growing Hg-based heterostructures here at the Experimentelle Physik III in W{\"u}rzburg, there are very good requirements to analyze this material system more precisely and in new directions. Since in former days only doped HgTe quantum wells were grown, this thesis deals with the MBE growth in the (001) direction of undoped HgTe quantum wells, surface located quantum wells and three dimensional bulk layers. All Hg-based layers were grown on CdTe substrates which generate strain in the layer stack and provide therefore new physical effects. In the same time, the (001) CdTe growth was investigated on n-doped (001) GaAs:Si because the Japanese supplier of CdTe substrates had a supply bottleneck due to the Tohoku earthquake and its aftermath in 2011. After a short introduction of the material system, the experimental techniques were demonstrated and explained explicitly. After that, the experimental part of this thesis is displayed. So, the investigation of the (001) CdTe growth on (001) GaAs:Si is discussed in chapter 4. Firstly, the surface preparation of GaAs:Si by oxide desorption is explored and analyzed. Here, rapid thermal desorption of the GaAs oxide with following cool down in Zn atmosphere provides the best results for the CdTe due to small holes at the surface, while e.g. an atomic flat GaAs buffer deteriorates the CdTe growth quality. The following ZnTe layer supplies the (001) growth direction of the CdTe and exhibits best end results of the CdTe for 30 seconds growth time at a flux ratio of Zn/Te ~ 1/1.2. Without this ZnTe layer, CdTe will grow in the (111) direction. However, the main investigation is here the optimization of the MBE growth of CdTe. The substrate temperature, Cd/Te flux ratio and the growth time has to be adjusted systematically. Therefore, a complex growth process is developed and established. This optimized CdTe growth process results in a RMS roughness of around 2.5 nm and a FWHM value of the HRXRD w-scan of 150 arcsec. Compared to the literature, there is no lower FWHM value traceable for this growth direction. Furthermore, etch pit density measurements show that the surface crystallinity is matchable with the commercial CdTe substrates (around 1x10^4 cm^(-2)). However, this whole process is not completely perfect and offers still room for improvements. The growth of undoped HgTe quantum wells was also a new direction in research in contrast to the previous n-doped grown HgTe quantum wells. Here in chapter 5, the goal of very low carrier densities was achieved and therefore it is now possible to do transport experiments in the n - and p - region by tuning the gate voltage. To achieve this high sample quality, very precise growth of symmetric HgTe QWs and their HRXRD characterization is examined. Here, the quantum well thickness can now determined accurate to under 0.3 nm. Furthermore, the transport analysis of different quantum well thicknesses shows that the carrier density and mobility increase with rising HgTe layer thickness. However, it is found out that the band gap of the HgTe QW closes indirectly at a thickness of 11.6 nm. This is caused by the tensile strained growth on CdTe substrates. Moreover, surface quantum wells are studied. These quantum wells exhibit no or a very thin HgCdTe cap. Though, oxidization and contamination of the surface reduces here the carrier mobility immensely and a HgCdTe layer of around 5 nm provides the pleasing results for transport experiments with superconductors connected to the topological insulator [119]. A completely new achievement is the realization of MBE growth of HgTe quantum wells on CdTe/GaAs:Si substrates. This is attended by the optimization of the CdTe growth on GaAs:Si. It exposes that HgTe quantum wells grown in-situ on optimized CdTe/GaAs:Si show very nice transport data with clear Hall plateaus, SdH oscillations, low carrier densities and carrier mobilities up to 500 000 cm^2/Vs. Furthermore, a new oxide etching process is developed and analyzed which should serve as an alternative to the standard HCl process which generates volcano defects at some time. However, during the testing time the result does not differ in Nomarski, HRXRD, AFM and transport measurements. Here, long-time tests or etching and mounting in nitrogen atmosphere may provide new elaborate results. The main focus of this thesis is on the MBE growth and standard characterization of HgTe bulk layers and is discussed in chapter 6. Due to the tensile strained growth on lattice mismatched CdTe, HgTe bulk opens up a band gap of around 22 meV at the G-point and exhibits therefore its topological surface states. The analysis of surface condition, roughness, crystalline quality, carrier density and mobility via Nomarski, AFM, XPS, HRXRD and transport measurements is therefore included in this work. Layer thickness dependence of carrier density and mobility is identified for bulk layer grown directly on CdTe substrates. So, there is no clear correlation visible between HgTe layer thickness and carrier density or mobility. So, the carrier density is almost constant around 1x10^11 cm^(-2) at 0 V gate voltage. The carrier mobility of these bulk samples however scatters between 5 000 and 60 000 cm^2/Vs almost randomly. Further experiments should be made for a clearer understanding and therefore the avoidance of unusable bad samples.But, other topological insulator materials show much higher carrier densities and lower mobility values. For example, Bi2Se3 exhibits just density values around 1019 cm^(-2) and mobility values clearly below 5000 cm2/Vs. The carrier density however depends much on lithography and surface treatment after growth. Furthermore, the relaxation behavior and critical thickness of HgTe grown on CdTe is determined and is in very good agreement with theoretical prediction (d_c = 155 nm). The embedding of the HgTe bulk layer between HgCdTe layers created a further huge improvement. Similar to the quantum well structures the carrier mobility increases immensely while the carrier density levels at around 1x10^11 cm^(-2) at 0 V gate voltage as well. Additionally, the relaxation behavior and critical thickness of these barrier layers has to be determined. HgCdTe grown on commercial CdTe shows a behavior as predicted except the critical thickness which is slightly higher than expected (d_c = 850 nm). Otherwise, the relaxation of HgCdTe grown on CdTe/GaAs:Si occurs in two parts. The layer is fully strained up to 250 nm. Between 250 nm and 725 nm the HgCdTe film starts to relax randomly up to 10 \%. The relaxation behavior for thicknesses larger than 725 nm occurs than linearly to the inverse layer thickness. A explanation is given due to rough interface conditions and crystalline defects of the CdTe/GaAs:Si compared to the commercial CdTe substrate. HRXRD and AFM data support this statement. Another point is that the HgCdTe barriers protect the active HgTe layer and because of the high carrier mobilities the Hall measurements provide new transport data which have to be interpreted more in detail in the future. In addition, HgTe bulk samples show very interesting transport data by gating the sample from the top and the back. It is now possible to manipulate the carrier densities of the top and bottom surface states almost separately. The back gate consisting of the n-doped GaAs substrate and the thick insulating CdTe buffer can tune the carrier density for Delta(n) ~ 3x10^11 cm^(-2). This is sufficient to tune the Fermi energy from the p-type into the n-type region [138]. In this thesis it is shown that strained HgTe bulk layers exhibit superior transport data by embedding between HgCdTe barrier layers. The n-doped GaAs can here serve as a back gate. Furthermore, MBE growth of high crystalline, undoped HgTe quantum wells shows also new and extended transport output. Finally, it is notable that due to the investigated CdTe growth on GaAs the Hg-based heterostructure MBE growth is partially independent from commercial suppliers.}, subject = {Quecksilbertellurid}, language = {en} } @phdthesis{Carinci2017, author = {Carinci, Flavio}, title = {Quantitative Characterization of Lung Tissue Using Proton MRI}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-151189}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2017}, abstract = {The focus of the work concerned the development of a series of MRI techniques that were specifically designed and optimized to obtain quantitative and spatially resolved information about characteristic parameters of the lung. Three image acquisition techniques were developed. Each of them allows to quantify a different parameter of relevant diagnostic interest for the lung, as further described below: 1) The blood volume fraction, which represents the amount of lung water in the intravascular compartment expressed as a fraction of the total lung water. This parameter is related to lung perfusion. 2) The magnetization relaxation time T\(_2\) und T� *\(_2\) , which represents the component of T\(_2\) associated with the diffusion of water molecules through the internal magnetic field gradients of the lung. Because the amplitude of these internal gradients is related to the alveolar size, T\(_2\) und T� *\(_2\) can be used to obtain information about the microstructure of the lung. 3) The broadening of the NMR spectral line of the lung. This parameter depends on lung inflation and on the concentration of oxygen in the alveoli. For this reason, the spectral line broadening can be regarded as a fingerprint for lung inflation; furthermore, in combination with oxygen enhancement, it provides a measure for lung ventilation.}, subject = {Kernspintomografie}, language = {en} } @phdthesis{Fiedler2018, author = {Fiedler, Sebastian}, title = {Strukturelle und elektronische Zusammenh{\"a}nge von inversionsasymmetrischen Halbleitern mit starker Spin-Bahn-Kopplung; BiTeX (X =I, Br, Cl)}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-155624}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {Diese Arbeit befasst sich mit der Untersuchung und Manipulation von Halbleitern, bei denen die Spin-Bahn-Kopplung (SBK) in Kombination mit einem Bruch der strukturellen Inversionssymmetrie zu einer impulsabh{\"a}ngigen Spinaufspaltung der Bandstruktur f{\"u}hrt. Von besonderem Interesse ist hierbei der Zusammenhang zwischen der spinabh{\"a}ngigen elektronischen Struktur und der strukturellen Geometrie. Dieser wird durch eine Kombination komplement{\"a}rer, oberfl{\"a}chensensitiver Messmethoden - insbesondere Rastertunnelmikroskopie (STM) und Photoelektronenspektroskopie (PES) - an geeigneten Modellsystemen untersucht. Der experimentelle Fokus liegt dabei auf den polaren Halbleitern BiTeX (X =I, Br, Cl). Zus{\"a}tzliche Experimente werden an d{\"u}nnen Schichten der topologischen Isolatoren (TI) Bi1,1-xSb0;9+xSe3 (x = 0. . . 1,1) und Bi2Te2Se durchgef{\"u}hrt. Die inversionsasymmetrische Kristallstruktur in BiTeX f{\"u}hrt zur Existenz zweier nicht-{\"a}quivalenter Oberfl{\"a}chen mit unterschiedlicher Terminierung (Te oder X) und invertierter atomarer Stapelfolge. STM-Aufnahmen der Oberfl{\"a}chen gespaltener Einkristalle belegen f{\"u}r BiTeI(0001) eine Koexistenz beider Terminierungen auf einer L{\"a}ngenskala von etwa 100 nm, die sich auf Stapelfehler im Kristallvolumen zur{\"u}ckf{\"u}hren lassen. Diese Dom{\"a}nen sind groß genug, um eine vollst{\"a}ndig entwickelte Banddispersion auszubilden und erzeugen daher eine Kombination der Bandstrukturen beider Terminierungen bei r{\"a}umlich integrierenden Messmethoden. BiTeBr(0001) und BiTeCl(0001) hingegen zeichnen sich durch homogene Terminierungen auf einer makroskopischen L{\"a}ngenskala aus. Atomar aufgel{\"o}ste STM-Messungen zeigen f{\"u}r die drei Systeme unterschiedliche Defektdichten der einzelnen Lagen sowie verschiedene strukturelle Beeinflussungen durch die Halogene. PES-Messungen belegen einen starken Einfluss der Terminierung auf verschiedene Eigenschaften der Oberfl{\"a}chen, insbesondere auf die elektronische Bandstruktur, die Austrittsarbeit sowie auf die Wechselwirkung mit Adsorbaten. Die unterschiedliche Elektronegativit{\"a}t der Halogene resultiert in verschieden starken Ladungs{\"u}berg{\"a}ngen innerhalb der kovalent-ionisch gebundenen BiTe+ X- Einheitszelle. Eine erweiterte Analyse der Oberfl{\"a}cheneigenschaften ist durch die Bedampfung mit Cs m{\"o}glich, wobei eine {\"A}nderung der elektronischen Struktur durch die Wechselwirkung mit dem Alkalimetall studiert wird. Modifiziert man die Kristallstruktur sowie die chemische Zusammensetzung von BiTeI(0001) nahe der Oberfl{\"a}che durch Heizen im Vakuum, bewirkt dies eine Ver{\"a}nderung der Bandstruktur in zwei Schritten. So f{\"u}hrt zun{\"a}chst der Verlust von Iod zum Verlust der Rashba-Aufspaltung, was vermutlich durch eine Aufhebung der Inversionsasymmetrie in der Einheitszelle verursacht wird. Anschließend bildet sich eine neue Kristallstruktur, die topologisch nichttriviale Oberfl{\"a}chenzust{\"a}nde hervorbringt. Der Umordnungsprozess betrifft allerdings nur die Kristalloberfl{\"a}che - im Volumen bleibt die inversionsasymmetrische Einheitszelle erhalten. Einem derartigen Hybridsystem werden bislang unbekannte elektronische Eigenschaften vorausgesagt. Eine systematische Untersuchung von D{\"u}nnschicht-TIs, die mittels Molekularstrahlepitaxie (MBE) erzeugt wurden, zeigt eine Ver{\"a}nderung der Morphologie und elektronischen Struktur in Abh{\"a}ngigkeit von St{\"o}chiometrie und Substrat. Der Vergleich zwischen MBE und gewachsenen Einkristallen offenbart deutliche Unterschiede. Bei einem der D{\"u}nnschichtsysteme tritt sogar eine lokal inhomogene Zustandsdichte im Bindungsenergiebereich des topologischen Oberfl{\"a}chenzustands auf.}, subject = {Rashba-Effekt}, language = {de} } @phdthesis{Geissler2017, author = {Geißler, Florian}, title = {Transport properties of helical Luttinger liquids}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-153450}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2017}, abstract = {The prediction and the experimental discovery of topological insulators has set the stage for a novel type of electronic devices. In contrast to conventional metals or semiconductors, this new class of materials exhibits peculiar transport properties at the sample surface, as conduction channels emerge at the topological boundaries of the system. In specific materials with strong spin-orbit coupling, a particular form of a two-dimensional topological insulator, the quantum spin Hall state, can be observed. Here, the respective one-dimensional edge channels are helical in nature, meaning that there is a locking of the spin orientation of an electron and its direction of motion. Due to the symmetry of time-reversal, elastic backscattering off interspersed impurities is suppressed in such a helical system, and transport is approximately ballistic. This allows in principle for the realization of novel energy-efficient devices, ``spintronic`` applications, or the formation of exotic bound states with non-Abelian statistics, which could be used for quantum computing. The present work is concerned with the general transport properties of one-dimensional helical states. Beyond the topological protection mentioned above, inelastic backscattering can arise from various microscopic sources, of which the most prominent ones will be discussed in this Thesis. As it is characteristic for one-dimensional systems, the role of electron-electron interactions can be of major importance in this context. First, we review well-established techniques of many-body physics in one dimension such as perturbative renormalization group analysis, (Abelian) bosonization, and Luttinger liquid theory. The latter allow us to treat electron interactions in an exact way. Those methods then are employed to derive the corrections to the conductance in a helical transport channel, that arise from various types of perturbations. Particularly, we focus on the interplay of Rashba spin-orbit coupling and electron interactions as a source of inelastic single-particle and two-particle backscattering. It is demonstrated, that microscopic details of the system, such as the existence of a momentum cutoff, that restricts the energy spectrum, or the presence of non-interacting leads attached to the system, can fundamentally alter the transport signature. By comparison of the predicted corrections to the conductance to a transport experiment, one can gain insight about the microscopic processes and the structure of a quantum spin Hall sample. Another important mechanism we analyze is backscattering induced by magnetic moments. Those findings provide an alternative interpretation of recent transport measurements in InAs/GaSb quantum wells.}, subject = {Topologischer Isolator}, language = {en} } @phdthesis{Pfenning2018, author = {Pfenning, Andreas Theo}, title = {Optoelektronische Transportspektroskopie an Resonanztunneldioden-Fotodetektoren}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-163205}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {Die vorliegende Arbeit besch{\"a}ftigt sich mit optoelektronischer Transportspektroskopie verschiedener Resonanztunneldioden (RTDs). Die Arbeit ist thematisch in zwei Schwerpunktee untergliedert. Im ersten Schwerpunkt werden anhand GaAs-basierter RTD-Fotosensoren f{\"u}r den Telekommunikationswellenl{\"a}ngenbereich um 1,3 µm die Akkumulationsdynamiken photogenerierter Minorit{\"a}tsladungstr{\"a}ger und deren Wirkung auf den RTD-Tunnelstrom untersucht. Im zweiten Schwerpunkt werden GaSb-basierte Al(As)Sb/GaSb-Doppelbarrieren-Quantentrog-RTDs in Hinblick auf ihren Raumtemperaturbetrieb entwickelt und erforscht. Diese legen den Grundstein f{\"u}r die sp{\"a}tere Realisation von RTD-Fotodetektoren im mittleren infraroten (MIR) Spektralbereich. Im Folgenden ist eine kurze inhaltliche Zusammenfassung der einzelnen Kapitel gegeben. Kapitel 1 leitet vor dem Hintergrund eines stark steigenden Bedarfs an verl{\"a}sslichen und sensitiven Fotodetektoren f{\"u}r Telekommunikationsanwendungen sowie f{\"u}r die optische Molek{\"u}l- und Gasspektroskopie in das {\"u}bergeordnete Thema der RTD-Fotodetektoren ein. Kapitel 2 erl{\"a}utert ausgew{\"a}hlte physikalische und technische Grundlagen zu RTD-Fotodetektoren. Ausgehend von einem kurzem {\"U}berblick zu RTDs, werden aktuelle Anwendungsgebiete aufgezeigt und die physikalischen Grundlagen elektrischen Transports in RTDs diskutiert. Anschließend werden Grundlagen, Definitionen und charakteristische Kenngr{\"o}ßen optischer Detektoren und Sensoren definiert. Abschließend werden die physikalischen Grundlagen zum Fotostrom in RTDs beschrieben. In Kapitel 3 RTD-Fotosensor zur Lichtdetektion bei 1,3 µm werden AlGaAs/GaAs-Doppelbarrieren-Quantentrog-Resonanztunneldioden (DBQW-RTDs) mit gitterangepasster, quatern{\"a}rer GaInNAs-Absorptionsschicht als Raumtemperatur-Fotodetektoren f{\"u}r den nahen infraroten (NIR) Spektralbereich bei der Telekommunikationswellenl{\"a}nge von λ=1,3 µm untersucht. RTDs sind photosensitive Halbleiterbauteile, die innerhalb der vergangenen Jahre aufgrund ihrer hohen Fotosensitivit{\"a}t und F{\"a}higkeit selbst einzelne Photonen zu detektieren, ein beachtliches Interesse geweckt haben. Die RTD-Fotosensitivit{\"a}t basiert auf einer Coulomb-Wechselwirkung photogenerierter und akkumulierter Ladungstr{\"a}ger. Diese ver{\"a}ndern das lokale elektrostatische Potential und steuern so einen empfindlichen Resonanztunnelstrom. Die Kenntnis der zugrundeliegenden physikalischen Parameter und deren Spannungsabh{\"a}ngigkeit ist essentiell, um optimale Arbeitspunkte und Bauelementdesigns zu identifizieren. Unterkapitel 3.1 gibt einen {\"U}berblick {\"u}ber das Probendesign der untersuchten RTD-Fotodetektoren, deren Fabrikationsprozess sowie eine Erl{\"a}uterung des Fotodetektionsmechanismus. {\"U}ber Tieftemperatur-Elektrolumineszenz-Spektroskopie wird die effektive RTD-Quantentrog-Breite zu d_DBQW≃3,4 nm bestimmt. Die Quantisierungsenergien der Elektron- und Schwerloch-Grundzust{\"a}nde ergeben sich zu E_Γ1≈144 meV und E_hh1≈39 meV. Abschließend wird der in der Arbeit verwendeten Messaufbau skizziert. In Unterkapitel 3.2 werden die physikalischen Parameter, die die RTD-Fotosensitivit{\"a}t bestimmen, auf ihre Spannungsabh{\"a}ngigkeit untersucht. Die Fotostrom-Spannungs-Kennlinie des RTD-Fotodetektors ist nichtlinear und {\"u}ber drei spannungsabh{\"a}ngige Parametern gegeben: der RTD-Quanteneffizienz η(V), der mittleren Lebensdauer photogenerierter und akkumulierter Minorit{\"a}tsladungstr{\"a}ger (L{\"o}cher) τ(V) und der RTD-I(V)-Kennlinie im Dunkeln I_dark (V). Die RTD Quanteneffizienz η(V) kann {\"u}ber eine Gaußsche-Fehlerfunktion modelliert werden, welche beschreibt, dass Lochakkumulation erst nach {\"U}berschreiten einer Schwellspannung stattfindet. Die mittlere Lebensdauer τ(V) f{\"a}llt exponentiell mit zunehmender Spannung V ab. {\"U}ber einen Vergleich mit thermisch limitierten Lebensdauern in Quantentr{\"o}gen k{\"o}nnen Leitungsband- und Valenzband-Offset zu Q_C \≈0,55 und Q_V≈0,45 abgesch{\"a}tzt werden. Basierend auf diesen Ergebnissen wird ein Modell f{\"u}r die Fotostrom-Spannungs-Kennlinie erstellt, das eine elementare Grundlage f{\"u}r die Charakterisierung von RTD-Photodetektoren bildet. In Unterkapitel 3.3 werden die physikalischen Parameter, die die RTD-Fotosensitivit{\"a}t beschr{\"a}nken, detailliert auf ihre Abh{\"a}ngigkeit gegen{\"u}ber der einfallenden Lichtleistung untersucht. Nur f{\"u}r kleine Lichtleistungen wird eine konstante Sensitivit{\"a}t von S_I=5,82×〖10〗^3 A W-1 beobachtet, was einem Multiplikationsfaktor von M=3,30×〖10〗^5 entspricht. F{\"u}r steigende Lichtleistungen f{\"a}llt die Sensitivit{\"a}t um mehrere Gr{\"o}ßenordnungen ab. Die abfallende, nichtkonstante Sensitivit{\"a}t ist maßgeblich einer Reduktion der mittleren Lebensdauer τ zuzuschreiben, die mit steigender Lochpopulation exponentiell abf{\"a}llt. In Kombination mit den Ergebnissen aus Unterkapitel 3.2 wird ein Modell der RTD-Fotosensitivit{\"a}t vorgestellt, das die Grundlage einer Charakterisierung von RTD-Fotodetektoren bildet. Die Ergebnisse k{\"o}nnen genutzt werden, um die kritische Lichtleistung zu bestimmen, bis zu der der RTD-Fotodetektor mit konstanter Sensitivit{\"a}t betrieben werden kann, oder um den idealen Arbeitspunkt f{\"u}r eine minimale rausch{\"a}quivalente Leistung (NEP) zu identifizieren. Dieser liegt f{\"u}r eine durch theoretisches Schrotrauschen limitierte RTD bei einem Wert von NEP=1,41×〖10〗^(-16) W Hz-1/2 bei V=1,5 V. In Kapitel 4 GaSb-basierte Doppelbarrieren-RTDs werden unterschiedliche Al(As)Sb/GaSb-DBQW-RTDs auf ihre elektrische Transporteigenschaften untersucht und erstmalig resonantes Tunneln von Elektronen bei Raumtemperatur in solchen Resonanztunnelstrukturen demonstriert. Unterkapitel 4.1 beschreibt den Wachstums- und der Fabrikationsprozess der untersuchten AlAsSb/GaSb-DBQW-RTDs. In Unterkapitel 4.2 wird Elektronentransport durch eine AlSb/GaSb-DBQW-Resonanztunnelstruktur untersucht. Bei einer Temperatur von T=4,2 K konnte resonantes Tunneln mit bisher unerreicht hohen Resonanz-zu-Talstrom-Verh{\"a}ltnisse von PVCR=20,4 beobachtet werden. Dies wird auf die exzellente Qualit{\"a}t des Halbleiterkristallwachstums und des Fabrikationsprozesses zur{\"u}ckgef{\"u}hrt. Resonantes Tunneln bei Raumtemperatur konnte hingegen nicht beobachtet werden. Dies wird einer Besonderheit des Halbleiters GaSb zugeschrieben, welche daf{\"u}r sorgt, dass bei Raumtemperatur die Mehrheit der Elektronen Zust{\"a}nde am L-Punkt anstelle des Γ Punktes besetzt. Resonantes Tunneln {\"u}ber den klassischen Γ Γ Γ-Tunnelpfad ist so unterbunden. In Unterkapitel 4.3 werden die elektrischen Transporteigenschaften von AlAsSb/GaSb DBQW RTDs mit pseudomorph gewachsenen tern{\"a}ren Vorquantentopfemittern untersucht. Der prim{\"a}re Zweck der Vorquantentopfstrukturen liegt in der Erh{\"o}hung der Energieseparation zwischen Γ- und L-Punkt. So kann Elektronentransport {\"u}ber L- Kan{\"a}le unterdr{\"u}ckt und Elektronenzust{\"a}nde am Γ-Punkt wiederbev{\"o}lkert werden. Zudem ist bei gen{\"u}gend tiefen Vorquantentopfstrukturen aufgrund von Quantisierungseffekten eine Verbesserung der RTD-Transporteigenschaften m{\"o}glich. Strukturen ohne Vorquantentopf-Emitter zeigen ein Tieftemperatur- (T=77 K) Resonanz-zu-Talstrom-Verh{\"a}ltnis von PVCR=8,2, w{\"a}hrend bei Raumtemperatur kein resonantes Tunneln beobachtet werden kann. Die Integration von Ga0,84In0,16Sb- beziehungsweise GaAs0,05Sb0,95-Vorquantentopfstrukturen f{\"u}hrt zu resonantem Tunneln bei Raumtemperatur mit Resonanz-zu-Talstrom-Verh{\"a}ltnissen von PVCR=1,45 und 1,36. In Unterkapitel 4.4 wird die Abh{\"a}ngigkeit der elektrischen Transporteigenschaften von AlAsSb/GaSb RTDs vom As-Stoffmengenanteil des GaAsSb-Emitter-Vorquantentopfs und der AlAsSb-Tunnelbarriere untersucht. Eine Erh{\"o}hung der As-Stoffmengenkonzentration f{\"u}hrt zu einem erh{\"o}hten Raumtemperatur-PVCR mit Werten von bis zu 2,36 bei gleichzeitig reduziertem Tieftemperatur-PVCR. Das reduzierte Tieftemperatur-Transportverm{\"o}gen wird auf eine mit steigendem As-Stoffmengenanteil zunehmend degradierende Kristallqualit{\"a}t zur{\"u}ckgef{\"u}hrt. In Kapitel 5 AlAsSb/GaSb-RTD-Fotosensoren zur MIR-Lichtdetektion werden erstmalig RTD-Fotodetektoren f{\"u}r den MIR-Spektralbereich vorgestellt und auf ihre optoelektronischen Transporteigenschaften hin untersucht. Zudem wird erstmalig ein p-dotierter RTD-Fotodetektor demonstriert. In Unterkapitel 5.1 wird das Probendesign GaSb-basierter RTD-Fotodetektoren f{\"u}r den mittleren infraroten Spektralbereich vorgestellt. Im Speziellen werden Strukturen mit umgekehrter Ladungstr{\"a}gerpolarit{\"a}t (p- statt n-Dotierung, L{\"o}cher als Majorit{\"a}tsladungstr{\"a}ger) vorgestellt. In Unterkapitel 5.2 werden die optischen Eigenschaften der gitterangepassten quatern{\"a}ren GaInAsSb-Absorptionsschicht mittels Fourier-Transformations-Infrarot-Spektroskopie untersucht. {\"U}ber das Photolumineszenz-Spektrum wird die Bandl{\"u}ckenenergie zu E_Gap≅(447±5) meV bestimmt. Das entspricht einer Grenzwellenl{\"a}nge von λ_G≅(2,77±0,04) µm. Aus dem niederenergetischen monoexponentiellem Abfall der Linienform wird eine Urbach-Energie von E_U=10 meV bestimmt. Der hochenergetische Abfall folgt der Boltzmann-Verteilungsfunktion mit einem Abfall von k_B T=25 meV. In Unterkapitel 5.3 werden die elektrischen Transporteigenschaften der RTD-Fotodetektoren untersucht und mit denen einer n-dotierten Referenzprobe verglichen. Erstmalig wird resonantes Tunneln von L{\"o}chern in AlAsSb/GaSb-DBQW-RTDs bei Raumtemperatur demonstriert. Dabei ist PVCR=1,58. Bei T=4,2 K zeigen resonantes Loch- und Elektrontunneln vergleichbare Kenngr{\"o}ßen mit PVCR=10,1 und PVCR=11,4. Die symmetrische I(V)-Kennlinie der p-dotierten RTD-Fotodetektoren deutet auf eine geringe Valenzbanddiskontinuit{\"a}t zwischen GaSb und der GaInAsSb-Absorptionsschicht hin. Zudem sind die p-dotierten RTDs besonders geeignet f{\"u}r eine sp{\"a}tere Integration mit Typ-II-{\"U}bergittern. In Unterkapitel 5.4 werden die optoelektronischen Transporteigenschaften p-dotierter RTD-Fotodetektoren untersucht. Das vorgestellte neuartige RTD-Fotodetektorkonzept, welches auf resonanten Lochtransport als Majorit{\"a}tsladungstr{\"a}ger setzt, bietet speziell im f{\"u}r den MIR-Spektralbereich verwendeten GaSb-Materialsystem Vorteile, l{\"a}sst sich aber auch auf das InP- oder GaAs- Materialsystem {\"u}bertragen. Die untersuchten p-dotierten Fotodetektoren zeigen eine ausgepr{\"a}gte Fotosensitivit{\"a}t im MIR-Spektralbereich. Fotostromuntersuchungen werden f{\"u}r optische Anregung mittels eines Halbleiterlasers der Wellenl{\"a}nge λ=2,61 µm durchgef{\"u}hrt. Bei dieser Wellenl{\"a}nge liegen fundamentale Absorptionslinien atmosph{\"a}rischen Wasserdampfs. Die Fotostrom-Spannungs-Charakteristik best{\"a}tigt, dass die Fotosensitivit{\"a}t auf einer Modulation des resonanten Lochstroms {\"u}ber Coulomb-Wechselwirkung akkumulierter photogenerierter Minorit{\"a}tsladungstr{\"a}ger (Elektronen) beruht. Es werden Sensitivit{\"a}ten von S_I=0,13 A W-1 ermittelt. Durch eine verbesserte RTD-Quanteneffizienz aufgrund eines optimierten Dotierprofils der Absorptionsschicht l{\"a}sst sich die Sensitivit{\"a}t auf S_I=2,71 A W-1 erh{\"o}hen, was einem Multiplikationsfaktor von in etwa M\≈8,6 entspricht. Gleichzeitig wird jedoch der RTD-Hebelfaktor verringert, sodass n_(RTD p2)=0,42⋅n_(RTD p1). Erstmalig wurde damit erfolgreich Gas-Absorptionsspektroskopie anhand von H2O-Dampf mittels MIR-RTD-Fotodetektor an drei beieinanderliegenden Absorptionslinien demonstriert.}, subject = {Resonanz-Tunneldiode}, language = {de} } @phdthesis{Wiedenmann2018, author = {Wiedenmann, Jonas}, title = {Induced topological superconductivity in HgTe based nanostructures}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-162782}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {This thesis describes the studies of topological superconductivity, which is predicted to emerge when pair correlations are induced into the surface states of 2D and 3D topolog- ical insulators (TIs). In this regard, experiments have been designed to investigate the theoretical ideas first pioneered by Fu and Kane that in such system Majorana bound states occur at vortices or edges of the system [Phys. Rev. Lett. 100, 096407 (2008), Phys. Rev. B 79, 161408 (2009)]. These states are of great interest as they constitute a new quasiparticle which is its own antiparticle and can be used as building blocks for fault tolerant topological quantum computing. After an introduction in chapter 1, chapter 2 of the thesis lays the foundation for the understanding of the field of topology in the context of condensed matter physics with a focus on topological band insulators and topological superconductors. Starting from a Chern insulator, the concepts of topological band theory and the bulk boundary corre- spondence are explained. It is then shown that the low energy Hamiltonian of mercury telluride (HgTe) quantum wells of an appropriate thickness can be written as two time reversal symmetric copies of a Chern insulator. This leads to the quantum spin Hall effect. In such a system, spin-polarized one dimensional conducting states form at the edges of the material, while the bulk is insulating. This concept is extended to 3D topological insulators with conducting 2D surface states. As a preliminary step to treating topological superconductivity, a short review of the microscopic theory of superconductivity, i.e. the theory of Bardeen, Cooper, and Shrieffer (BCS theory) is presented. The presence of Majorana end modes in a one dimensional superconducting chain is explained using the Kitaev model. Finally, topological band insulators and conventional superconductivity are combined to effectively engineer p-wave superconductivity. One way to investigate these states is by measuring the periodicity of the phase of the Josephson supercurrent in a topological Josephson junction. The signature is a 4π-periodicity compared to the 2π-periodicity in conventional Josephson junctions. The proof of the presence of this effect in HgTe based Josephson junction is the main goal of this thesis and is discussed in chapters 3 to 6. Chapter 3 describes in detail the transport of a 3D topological insulator based weak link under radio-frequency radiation. The chapter starts with a review of the state of research of (i) strained HgTe as 3D topological insulator and (ii) the progress of induc- ing superconducting correlations into the topological surface states and the theoretical predictions of 3D TI based Josephson junctions. Josephson junctions based on strained HgTe are successfully fabricated. Before studying the ac driven Josephson junctions, the dc transport of the devices is analysed. The critical current as a function of temperature is measured and it is possible to determine the induced superconducting gap. Under rf illumination Shapiro steps form in the current voltage characteristic. A missing first step at low frequencies and low powers is found in our devices. This is a signature of a 4π-periodic supercurrent. By studying the device in a wide parameter range - as a 147148 SUMMARY function of frequency, power, device geometry and magnetic field - it is shown that the results are in agreement with the presence of a single gapless Andreev doublet and several conventional modes. Chapter 4 gives results of the numerical modelling of the I -V dynamics in a Josephson junction where both a 2π- and a 4π-periodic supercurrents are present. This is done in the framework of an equivalent circuit representation, namely the resistively shunted Josephson junction model (RSJ-model). The numerical modelling is in agreement with the experimental results in chapter 3. First, the missing of odd Shapiro steps can be understood by a small 4π-periodic supercurrent contribution and a large number of modes which have a conventional 2π-periodicity. Second, the missing of odd Shapiro steps occurs at low frequency and low rf power. Third, it is shown that stochastic processes like Landau Zener tunnelling are most probably not responsible for the 4π contribution. In a next step the periodicity of Josephson junctions based on quantum spin Hall insulators using are investigated in chapter 5. A fabrication process of Josephson junctions based on inverted HgTe quantum wells was successfully developed. In order to achieve a good proximity effect the barrier material was removed and the superconductor deposited without exposing the structure to air. In a next step a gate electrode was fabricated which allows the chemical potential of the quantum well to be tuned. The measurement of the diffraction pattern of the critical current Ic due to a magnetic field applied perpendicular to the sample plane was conducted. In the vicinity to the expected quantum spin Hall phase, the pattern resembles that of a superconducting quantum interference device (SQUID). This shows that the current flows predominantly on the edges of the mesa. This observation is taken as a proof of the presence of edge currents. By irradiating the sample with rf, missing odd Shapiro steps up to step index n = 9 have been observed. This evidences the presence of a 4π-periodic contribution to the supercurrent. The experiment is repeated using a weak link based on a non-inverted HgTe quantum well. This material is expected to be a normal band insulator without helical edge channels. In this device, all the expected Shapiro steps are observed even at low frequencies and over the whole gate voltage range. This shows that the observed phenomena are directly connected to the topological band structure. Both features, namely the missing of odd Shapiro steps and the SQUID like diffraction pattern, appear strongest towards the quantum spin Hall regime, and thus provide evidence for induced topological superconductivity in the helical edge states. A more direct way to probe the periodicity of the Josephson supercurrent than using Shapiro steps is the measurement of the emitted radiation of a weak link. This experiment is presented in chapter 6. A conventional Josephson junction converts a dc bias V to an ac current with a characteristic Josephson frequency fJ = eV /h. In a topological Josephson junction a frequency at half the Josephson frequency fJ /2 is expected. A new measurement setup was developed in order to measure the emitted spectrum of a single Josephson junction. With this setup the spectrum of a HgTe quantum well based Josephson junction was measured and the emission at half the Josephson frequency fJ /2 was detected. In addition, fJ emission is also detected depending on the gate voltage and detection frequency. The spectrum is again dominated by half the Josephson emission at low voltages while the conventional emission is determines the spectrum at high voltages. A non-inverted quantum well shows only conventional emission over the whole gateSUMMARY 149 voltage and frequency range. The linewidth of the detected frequencies gives a measure on the lifetime of the bound states: From there, a coherence time of 0.3-4ns for the fJ /2 line has been deduced. This is generally shorter than for the fJ line (3-4ns). The last part of the thesis, chapter 7, reports on the induced superconducting state in a strained HgTe layer investigated by point-contact Andreev reflection spectroscopy. For the experiment, a HgTe mesa was fabricated with a small constriction. The diameter of the orifice was chosen to be smaller than the mean free path estimated from magne- totransport measurements. Thus one gets a ballistic point-contact which allows energy resolved spectroscopy. One part of the mesa is covered with a superconductor which induces superconducting correlations into the surface states of the topological insulator. This experiment therefore probes a single superconductor normal interface. In contrast to the Josephson junctions studied previously, the geometry allows the acquisition of energy resolved information of the induced superconducting state through the measurement of the differential conductance dI/dV as a function of applied dc bias for various gate voltages, temperatures and magnetic fields. An induced superconducting order parame- ter of about 70µeV was extracted but also signatures of the niobium gap at the expected value around Δ Nb ≈ 1.1meV have been found. Simulations using the theory developed by Blonder, Tinkham and Klapwijk and an extended model taking the topological surface states into account were used to fit the data. The simulations are in agreement with a small barrier at the topological insulator-induced topological superconductor interface and a high barrier at the Nb to topological insulator interface. To understand the full con- ductance curve as a function of applied voltage, a non-equilibrium driven transformation is suggested. The induced superconductivity is suppressed at a certain bias value due to local electron population. In accordance with this suppression, the relevant scattering regions change spatially as a function of applied bias. To conclude, it is emphasized that the experiments conducted in this thesis found clear signatures of induced topological superconductivity in HgTe based quantum well and bulk devices and opens up the avenue to many experiments. It would be interesting to apply the developed concepts to other topological matter-superconductor hybrid systems. The direct spectroscopy and manipulation of the Andreev bound states using circuit quantum electrodynamic techniques should be the next steps for HgTe based samples. This was already achieved in superconducting atomic break junctions by the group in Saclay [Science 2015, 349, 1199-1202 (2015)]. Another possible development would be the on-chip detection of the emitted spectrum as a function of the phase φ through the junction. In this connection, the topological junction needs to be shunted by a parallel ancillary junction. Such a setup would allow the current phase relation I(φ) directly and the lifetime of the bound states to be measured directly. By coupling this system to a spectrometer, which can be another Josephson junction, the energy dependence of the Andreev bound states E(φ) could be obtained. The experiments on the Andreev reflection spectroscopy described in this thesis could easily be extended to two dimensional topological insulators and to more complex geometries, like a phase bias loop or a tunable barrier at the point-contact. This work might also be useful for answering the question how and why Majorana bound states can be localized in quantum spin Hall systems.}, subject = {Quecksilbertellurid}, language = {en} } @phdthesis{BreuergebHemberger2015, author = {Breuer [geb. Hemberger], Kathrin R. F.}, title = {Effiziente 3D Magnetresonanzbildgebung schnell abfallender Signale}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-150750}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2015}, abstract = {In der vorliegenden Arbeit wird die Rotated-Cone-UTE-Sequenz (RC-UTE), eine 3D k-Raum-Auslesetechnik mit homogener Verteilung der Abtastdichte, vorgestellt. Diese 3D MR-Messtechnik erm{\"o}glicht die f{\"u}r die Detektion von schnell abfallenden Signalen notwendigen kurzen Echozeiten und weist eine h{\"o}here SNR-Effizienz als konventionelle radiale Pulssequenzen auf. Die Abtastdichte ist dabei in radialer und azimutaler Richtung angepasst. Simulationen und Messungen in vivo zeigen, dass die radiale Anpassung das T2-Blurring reduziert und die SNR-Effizienz erh{\"o}ht. Die Drehung der Trajektorie in azimutale Richtung erm{\"o}glicht die Reduzierung der Unterabtastung bei gleicher Messzeit bzw. eine Reduzierung der Messzeit ohne Aufl{\"o}sungsverlust. Die RC-UTE-Sequenz wurde erfolgreich f{\"u}r die Bildgebung des Signals des kortikalen Knochens und der Lunge in vivo angewendet. Im Vergleich mit der grundlegenden UTE-Sequenz wurden die Vorteile von RC-UTE in allen Anwendungsbeispielen aufgezeigt. Die transversalen Relaxationszeit T2* des kortikalen Knochen bei einer Feldst{\"a}rke von 3.0T und der Lunge bei 1.5T und 3.0T wurde in 3D isotroper Aufl{\"o}sung gemessen. Außerdem wurde die Kombination von RC-UTE-Sequenz mit Methoden der Magnetisierungspr{\"a}paration zur besseren Kontrasterzeugung gezeigt. Dabei wurden die Doppel-Echo-Methode, die Unterdr{\"u}ckung von Komponenten mit langer Relaxationszeit T2 durch Inversionspulse und der Magnetisierungstransfer-Kontrast angewendet. Die Verwendung der RC-UTE-Sequenz f{\"u}r die 3D funktionelle Lungenbildgebung wird ebenfalls vorgestellt. Mit dem Ziel der umfassenden Charakterisierung der Lungenfunktion in 3D wurde die simultane Messung T1-gewichteter Bilder und quantitativer T2*-Karten f{\"u}r verschiedene Atemzust{\"a}nde an sechs Probanden durchgef{\"u}hrt. Mit der hier vorgestellten Methode kann die Lungenfunktion in 3D {\"u}ber T1-Wichtung, quantitative T2*-Messung und Rekonstruktion verschiedener Atemzust{\"a}nde durch Darstellung von Ventilation, Sauerstofftransport und Volumen{\"a}nderung beurteilt werden.}, subject = {Kernspintomografie}, language = {de} } @phdthesis{PonceGarcia2018, author = {Ponce Garcia, Irene Paola}, title = {Strategies for optimizing dynamic MRI}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-162622}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {In Magnetic Resonance Imaging (MRI), acquisition of dynamic data may be highly complex due to rapid changes occurred in the object to be imaged. For clinical diagnostic, dynamic MR images require both high spatial and temporal resolution. The speed in the acquisition is a crucial factor to capture optimally dynamics of the objects to obtain accurate diagnosis. In the 90's, partially parallel MRI (pMRI) has been introduced to shorten scan times reducing the amount of acquired data. These approaches use multi-receiver coil arrays to acquire independently and simultaneously the data. Reduction in the amount of acquired data results in images with aliasing artifacts. Dedicated methods as such Sensitivity Encoding (SENSE) and Generalized Autocalibrating Partially Parallel Acquisition (GRAPPA) were the basis of a series of algorithms in pMRI. Nevertheless, pMRI methods require extra spatial or temporal information in order to optimally reconstruct the data. This information is typically obtained by an extra scan or embedded in the accelerated acquisition applying a variable density acquisition scheme. In this work, we were able to reduce or totally eliminate the acquisition of the training data for kt-SENSE and kt-PCA algorithms obtaining accurate reconstructions with high temporal fidelity. For dynamic data acquired in an interleaved fashion, the temporal average of accelerated data can generate an artifact-free image used to estimate the coil sensitivity maps avoiding the need of extra acquisitions. However, this temporal average contains errors from aliased components, which may lead to signal nulls along the spectra of reconstructions when methods like kt-SENSE are applied. The use of a GRAPPA filter applied to the temporal average reduces these errors and subsequently may reduce the null components in the reconstructed data. In this thesis the effect of using temporal averages from radial data was investigated. Non-periodic artifacts performed by undersampling radial data allow a more accurate estimation of the true temporal average and thereby avoiding undesirable temporal filtering in the reconstructed images. kt-SENSE exploits not only spatial coil sensitivity variations but also makes use of spatio-temporal correlations in order to separate the aliased signals. Spatio-temporal correlations in kt-SENSE are learnt using a training data set, which consists of several central k-space lines acquired in a separate scan. The scan of these extra lines results in longer acquisition times even for low resolution images. It was demonstrate that limited spatial resolution of training data set may lead to temporal filtering effects (or temporal blurring) in the reconstructed data. In this thesis, the auto-calibration for kt-SENSE was proposed and its feasibility was tested in order to completely eliminate the acquisition of training data. The application of a prior TSENSE reconstruction produces the training data set for the kt-SENSE algorithm. These training data have full spatial resolution. Furthermore, it was demonstrated that the proposed auto-calibrating method reduces significantly temporal filtering in the reconstructed images compared to conventional kt-SENSE reconstructions employing low resolution training images. However, the performance of auto-calibrating kt-SENSE is affected by the Signal-to-Noise Ratio (SNR) of the first pass reconstructions that propagates to the final reconstructions. Another dedicated method used in dynamic MRI applications is kt-PCA, that was first proposed for the reconstruction of MR cardiac data. In this thesis, kt-PCA was employed for the generation of spatially resolved M0, T1 and T2 maps from a single accelerated IRTrueFISP or IR-Snapshot FLASH measurement. In contrast to cardiac dynamic data, MR relaxometry experiments exhibit signal at all temporal frequencies, which makes their reconstruction more challenging. However, since relaxometry measurements can be represented by only few parameters, the use of few principal components (PC) in the kt-PCA algorithm can significantly simplify the reconstruction. Furthermore, it was found that due to high redundancy in relaxometry data, PCA can efficiently extract the required information from just a single line of training data. It has been demonstrated in this thesis that auto-calibrating kt-SENSE is able to obtain high temporal fidelity dynamic cardiac reconstructions from moderate accelerated data avoiding the extra acquisition of training data. Additionally, kt-PCA has been proved to be a suitable method for the reconstruction of highly accelerated MR relaxometry data. Furthermore, a single central training line is necessary to obtain accurate reconstructions. Both reconstruction methods are promising for the optimization of training data acquisition and seem to be feasible for several clinical applications.}, subject = {Kernspintomografie}, language = {en} } @article{KernreiterGovernaleZuelickeetal.2016, author = {Kernreiter, T. and Governale, M. and Z{\"u}licke, U. and Hankiewicz, E. M.}, title = {Anomalous Spin Response and Virtual-Carrier-Mediated Magnetism in a Topological Insulator}, series = {Physical Review X}, volume = {6}, journal = {Physical Review X}, number = {021010}, doi = {10.1103/PhysRevX.6.021010}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-166582}, year = {2016}, abstract = {We present a comprehensive theoretical study of the static spin response in HgTe quantum wells, revealing distinctive behavior for the topologically nontrivial inverted structure. Most strikingly, the q=0 (long-wavelength) spin susceptibility of the undoped topological-insulator system is constant and equal to the value found for the gapless Dirac-like structure, whereas the same quantity shows the typical decrease with increasing band gap in the normal-insulator regime. We discuss ramifications for the ordering of localized magnetic moments present in the quantum well, both in the insulating and electron-doped situations. The spin response of edge states is also considered, and we extract effective Land{\´e} g factors for the bulk and edge electrons. The variety of counterintuitive spin-response properties revealed in our study arises from the system's versatility in accessing situations where the charge-carrier dynamics can be governed by ordinary Schr{\"o}dinger-type physics; it mimics the behavior of chiral Dirac fermions or reflects the material's symmetry-protected topological order.}, language = {en} } @article{KimZhangWangetal.2016, author = {Kim, Seonghoon and Zhang, Bo and Wang, Zhaorong and Fischer, Julian and Brodbeck, Sebastian and Kamp, Martin and Schneider, Christian and H{\"o}fling, Sven and Deng, Hui}, title = {Coherent Polariton Laser}, series = {Physical Review X}, volume = {6}, journal = {Physical Review X}, number = {011026}, doi = {10.1103/PhysRevX.6.011026}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-166597}, year = {2016}, abstract = {The semiconductor polariton laser promises a new source of coherent light, which, compared to conventional semiconductor photon lasers, has input-energy threshold orders of magnitude lower. However, intensity stability, a defining feature of a coherent state, has remained poor. Intensity noise many times the shot noise of a coherent state has persisted, attributed to multiple mechanisms that are difficult to separate in conventional polariton systems. The large intensity noise, in turn, limits the phase coherence. Thus, the capability of the polariton laser as a source of coherence light is limited. Here, we demonstrate a polariton laser with shot-noise-limited intensity stability, as expected from a fully coherent state. This stability is achieved by using an optical cavity with high mode selectivity to enforce single-mode lasing, suppress condensate depletion, and establish gain saturation. Moreover, the absence of spurious intensity fluctuations enables the measurement of a transition from exponential to Gaussian decay of the phase coherence of the polariton laser. It suggests large self-interaction energies in the polariton condensate, exceeding the laser bandwidth. Such strong interactions are unique to matter-wave lasers and important for nonlinear polariton devices. The results will guide future development of polariton lasers and nonlinear polariton devices.}, language = {en} } @article{ChenariSeibelHauschildetal.2016, author = {Chenari, Hossein Mahmoudi and Seibel, Christoph and Hauschild, Dirk and Reinert, Friedrich and Abdollahian, Hossein}, title = {Titanium Dioxide Nanoparticles: Synthesis, X-Ray Line Analysis and Chemical Composition Study}, series = {Materials Research}, volume = {19}, journal = {Materials Research}, number = {6}, doi = {10.1590/1980-5373-MR-2016-0288}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-165807}, pages = {1319-1323}, year = {2016}, abstract = {TiO2 nanoparticleshave been synthesized by the sol-gel method using titanium alkoxide and isopropanolas a precursor. The structural properties and chemical composition of the TiO2 nanoparticles were studied usingX-ray diffraction, scanning electron microscopy, and X-ray photoelectron spectroscopy.The X-ray powder diffraction pattern confirms that the particles are mainly composed of the anatase phase with the preferential orientation along [101] direction. The physical parameters such as strain, stress and energy density were investigated from the Williamson- Hall (W-H) plot assuming a uniform deformation model (UDM), and uniform deformation energy density model (UDEDM). The W-H analysis shows an anisotropic nature of the strain in nanopowders. The scanning electron microscopy image shows clear TiO2 nanoparticles with particle sizes varying from 60 to 80nm. The results of mean particle size of TiO2 nanoparticles show an inter correlation with the W-H analysis and SEM results. Our X-ray photoelectron spectroscopy spectra show that nearly a complete amount of titanium has reacted to TiO2}, language = {en} }