TY - THES A1 - Geißler, Florian T1 - Transport properties of helical Luttinger liquids T1 - Transporteigenschaften von helikalen Luttinger Flüssigkeiten N2 - 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. N2 - Mit der Vorhersage und der experimentellen Entdeckung von topologischen Isolatoren wurde die Grundlage für eine vollkommen neue Art von elektronischen Bauelementen geschaffen. Diese neue Klasse von Materialien zeichnet sich gegenüber herkömmlichen Metallen und Halbleitern durch besondere Transporteigenschaften der Probenoberfläche aus, wobei elektrische Leitung in Randkanälen an den topologischen Grenzflächen des Systems stattfindet. Eine spezielle Form des zweidimensionalen topologischen Isolators stellt der Quanten-Spin-Hall-Zustand dar, welcher in bestimmten Materialien mit starker Spin-Bahn-Kopplung beobachtet werden kann. Die hier auftretenden eindimensionalen Leitungskanäle sind von helikaler Natur, was bedeutet, dass die Orientierung des Spins eines Elektrons und seine Bewegungsrichtung fest miteinander gekoppelt sind. Aufgrund von Symmetrien wie Zeitumkehr ist elastische Rückstreuung an eventuell vorhandenen Störstellen in solchen helikalen Kanälen verboten, sodass elektrische Leitung als nahezu ballistisch betrachtet werden kann. Prinzipiell bieten sich dadurch neue Möglichkeiten zur Konstruktion von energieeffizienten Transistoren, “Spintronik“-Bauelementen, oder zur Erzeugung von speziellen Zuständen, die für den Betrieb eines Quantencomputers benutzt werden könnten. Die vorliegende Arbeit beschäftigt sich mit den allgemeinen Transporteigenschaften von eindimensionalen, helikalen Randzuständen. Neben dem oben erwähnten topologischen Schutz gibt es zahlreiche Störquellen, die inelastische Rückstreuprozesse induzieren. Die wichtigsten davon werden im Rahmen dieser Dissertation beleuchtet. Entscheidend wirkt hierbei oft die Rolle von Elektron-Elektron-Wechselwirkungen, welche in eindimensionalen Systemen generell von großer Bedeutung ist. Zunächst werden bewährte Techniken der Festkörperphysik wie etwa Abelsche Bosonisierung (mithilfe derer Wechselwirkungen in einer Raumdimension exakt berücksichtigt werden können), die Theorie von Luttinger Flüssigkeiten, oder die störungstheoretische Renormierungsgruppenanalyse rekapituliert. Diese Methoden werden im Weiteren benutzt, um die Korrekturen zum Leitwert eines helikalen Transportkanals zu berechnen, welche aufgrund von ausgewählten Störungen auftreten können. Ein Fokus liegt hierbei auf dem Zusammenspiel vonWechselwirkungen und Rashba Spin-Bahn-Kopplung als Quelle inelastischer Ein-Teilchen- oder Zwei-Teilchen-Rückstreuung. Mikroskopische Details wie etwa die Existenz einer Impulsobergrenze, welche das Energiespektrum beschränkt, oder die Anwesenheit von wechselwirkungsfreien Spannungskontakten, sind dabei von grundsätzlicher Bedeutung. Die charakteristische Form der vorhergesagten Korrekturen kann dazu dienen, die Struktur und die mikroskopischen Vorgänge im Inneren einer Quanten-Spin- Hall-Probe besser zu verstehen. Ein weiterer grundlegender Mechanismus ist Rückstreuung verursacht durch magnetische Momente. Aus der entsprechenden Analyse der Korrekturen zur Leitfähigkeit ergeben sich interessante Übereinstimmungen mit aktuellen Experimenten in InAs/GaSb Quantentrögen. KW - Topologischer Isolator KW - Luttinger-Flüssigkeit KW - 1D transport KW - Backscattering KW - Correlated electron effects KW - Transporteigenschaft KW - Elektronischer Transport KW - Dimension 1 Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-153450 ER - TY - JOUR A1 - Erdmenger, Johanna A1 - Fernández, Daniel A1 - Flory, Mario A1 - Megías, Eugenio A1 - Straub, Ann-Kathrin A1 - Witkowski, Piotr T1 - Time evolution of entanglement for holographic steady state formation JF - Journal of High Energy Physics N2 - Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time \(t\) = 0. A steady state forms and expands in space. For the 2+1-dimensional gravity dual, we find that the “shockwaves” expanding the steady-state region are of spacelike nature in the bulk despite being null at the boundary. However, they do not transport information. Moreover, by adapting the time-dependent Hubeny-Rangamani-Takayanagi prescription, we holographically calculate the entanglement entropy and also the mutual information for different entangling regions. For general temperatures, we find that the entanglement entropy increase rate satisfies the same bound as in the ‘entanglement tsunami’ setups. For small temperatures of the two baths, we derive an analytical formula for the time dependence of the entanglement entropy. This replaces the entanglement tsunami-like behaviour seen for high temperatures. Finally, we check that strong subadditivity holds in this time-dependent system, as well as further more general entanglement inequalities for five or more regions recently derived for the static case. KW - Physics KW - AdS-CFT Correspondence KW - Gauge-gravity correspondence KW - Holography and condensed matter physics (AdS/CMT) Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-173798 VL - 2017 IS - 10 ER - TY - JOUR A1 - Temme, Fabian A1 - Adam, Jan A1 - Ahnen, Max L. A1 - Baack, Dominik A1 - Balbo, Matteo A1 - Bergmann, Matthias A1 - Biland, Adrian A1 - Blank, Michael A1 - Bretz, Thomas A1 - Brügge, Kai A. A1 - Buss, Jens A1 - Dmytriiev, Anton A1 - Dorner, Daniela A1 - Einecke, Sabrina A1 - Hempfling, Christina A1 - Hildebrand, Dorothee A1 - Hughes, Gareth A1 - Linhoff, Lena A1 - Mannheim, Karl A1 - Müller, Sebastian A1 - Neise, Dominik A1 - Neronov, Andrii A1 - Nöthe, Max A1 - Paravac, Aleksander A1 - Pauss, Felicitas A1 - Rhode, Wolfgang A1 - Shukla, Amit A1 - Thaele, Julia A1 - Walter, Roland T1 - Long-Term monitoring of bright blazars in the multi-GeV to TeV range with FACT JF - Galaxies N2 - Blazars like Markarian 421 or Markarian 501 are active galactic nuclei (AGN), with their jets orientated towards the observer. They are among the brightest objects in the very high energy (VHE) gamma ray regime (>100 GeV). Their emitted gamma-ray fluxes are extremely variable, with changing activity levels on timescales between minutes, months, and even years. Several questions are part of the current research, such as the question of the emission regions or the engine of the AGN and the particle acceleration. A dedicated longterm monitoring program is necessary to investigate the properties of blazars in detail. A densely sampled and unbiased light curve allows for observation of both high and low states of the sources, and the combination with multi-wavelength observation could contribute to the answer of several questions mentioned above. FACT (First G-APD Cherenkov Telescope) is the first operational telescope using silicon photomultiplier (SiPM, also known as Geigermode—Avalanche Photo Diode, G-APD) as photon detectors. SiPM have a very homogenous and stable longterm performance, and allow operation even during full moon without any filter, leading to a maximal duty cycle for an Imaging Air Cherenkov Telescope (IACT). Hence, FACT is an ideal device for such a longterm monitoring of bright blazars. A small set of sources (e.g., Markarian 421, Markarian 501, 1ES 1959+650, and 1ES 2344+51.4) is currently being monitored. In this contribution, the FACT telescope and the concept of longterm monitoring of bright blazars will be introduced. The results of the monitoring program will be shown, and the advantages of densely sampled and unbiased light curves will be discussed. KW - Imaging Air Cherenkov Telescope KW - First G-APD Cherenkov Telescope KW - very high energy gamma rays KW - long-term monitoring KW - silicon photo multiplier Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-198088 SN - 2075-4434 VL - 5 IS - 1 PB - MDPI ER - TY - JOUR A1 - Bisti, F. A1 - Rogalev, V. A. A1 - Karolak, M. A1 - Paul, S. A1 - Gupta, A. A1 - Schmitt, T. A1 - Güntherodt, G. A1 - Eyert, V. A1 - Sangiovanni, G. A1 - Profeta, G. A1 - Strocov, V. N. T1 - Weakly-correlated nature of ferromagnetism in nonsymmorphic CrO\(_2\) revealed by bulk-sensitive soft-X-ray ARPES JF - Physical Review X N2 - Chromium dioxide CrO\(_2\) belongs to a class of materials called ferromagnetic half-metals, whose peculiar aspect is that they act as a metal in one spin orientation and as a semiconductor or insulator in the opposite one. Despite numerous experimental and theoretical studies motivated by technologically important applications of this material in spintronics, its fundamental properties such as momentumresolved electron dispersions and the Fermi surface have so far remained experimentally inaccessible because of metastability of its surface, which instantly reduces to amorphous Cr\(_2\)O\(_3\). In this work, we demonstrate that direct access to the native electronic structure of CrO\(_2\) can be achieved with soft-x-ray angle-resolved photoemission spectroscopy whose large probing depth penetrates through the Cr\(_2\)O\(_3\) layer. For the first time, the electronic dispersions and Fermi surface of CrO\(_2\) are measured, which are fundamental prerequisites to solve the long debate on the nature of electronic correlations in this material. Since density functional theory augmented by a relatively weak local Coulomb repulsion gives an exhaustive description of our spectroscopic data, we rule out strong-coupling theories of CrO\(_2\). Crucial for the correct interpretation of our experimental data in terms of the valence-band dispersions is the understanding of a nontrivial spectral response of CrO\(_2\) caused by interference effects in the photoemission process originating from the nonsymmorphic space group of the rutile crystal structure of CrO\(_2\). KW - physics KW - electronic structure KW - half-metals KW - angle-resolved photoemission spectroscopy KW - band structure methods KW - DFT+U KW - condensed matter physics Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-172251 VL - 7 IS - 4 ER - TY - JOUR A1 - Chiesa, Mauro A1 - Greiner, Nicolas A1 - Schönherr, Marek A1 - Tramontano, Francesco T1 - Electroweak corrections to diphoton plus jets JF - Journal of High Energy Physics N2 - We calculate the next-to-leading order electroweak corrections to the production of a photon pair in association with zero, one and two jets at the LHC. We use GoSam and Sherpa to obtain the results in a fully automated way. For a typical set of fiducial cuts the electroweak corrections lead to a modification of the total cross section of up to 3%, depending on the jet multiplicity. We find substantial contributions in differential distributions, leading to tens of per cent corrections for phase space regions within the reach of the LHC. Furthermore we investigate the importance of photon induced processes as well as subleading contributions. Photon induced processes are found to be negligible, subleading contributions can have a sizeable impact however they can be removed by appropriate phase space cuts. KW - NLO computations Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-173512 IS - 10 ER - TY - JOUR A1 - Hausoel, A. A1 - Karolak, M. A1 - Şaşιoğlu, E. A1 - Lichtenstein, A. A1 - Held, K. A1 - Katanin, A. A1 - Toschi, A. A1 - Sangiovanni, G. T1 - Local magnetic moments in iron and nickel at ambient and Earth's core conditions JF - Nature Communications N2 - Some Bravais lattices have a particular geometry that can slow down the motion of Bloch electrons by pre-localization due to the band-structure properties. Another known source of electronic localization in solids is the Coulomb repulsion in partially filled d or f orbitals, which leads to the formation of local magnetic moments. The combination of these two effects is usually considered of little relevance to strongly correlated materials. Here we show that it represents, instead, the underlying physical mechanism in two of the most important ferromagnets: nickel and iron. In nickel, the van Hove singularity has an unexpected impact on the magnetism. As a result, the electron–electron scattering rate is linear in temperature, in violation of the conventional Landau theory of metals. This is true even at Earth’s core pressures, at which iron is instead a good Fermi liquid. The importance of nickel in models of geomagnetism may have therefore to be reconsidered. KW - ferromagnetism KW - electronic properties and materials KW - magnetic properties and materials KW - nickel KW - iron Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170681 VL - 8 IS - 16062 ER - TY - JOUR A1 - Dziom, V. A1 - Shuvaev, A. A1 - Pimenov, A. A1 - Astakhov, G.V. A1 - Ames, C. A1 - Bendias, K. A1 - Böttcher, J. A1 - Tkachov, G. A1 - Hankiewicz, E.M. A1 - Brüne, C. A1 - Buhmann, H. A1 - Molenkamp, L.W. T1 - Observation of the universal magnetoelectric effect in a 3D topological insulator JF - Nature Communications N2 - The electrodynamics of topological insulators (TIs) is described by modified Maxwell’s equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such that the coupling coefficient is quantized in odd multiples of α/4π per surface. Here we report on the observation of this so-called topological magnetoelectric effect. We use monochromatic terahertz (THz) spectroscopy of TI structures equipped with a semitransparent gate to selectively address surface states. In high external magnetic fields, we observe a universal Faraday rotation angle equal to the fine structure constant α=e\(^{2}\)/2E\(_{0}\)hc (in SI units) when a linearly polarized THz radiation of a certain frequency passes through the two surfaces of a strained HgTe 3D TI. These experiments give insight into axion electrodynamics of TIs and may potentially be used for a metrological definition of the three basic physical constants. KW - topological matter KW - infrared spectroscopy KW - topological insulators KW - topological magnetoelectric effect Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170875 VL - 8 IS - 15197 ER - TY - JOUR A1 - Biedermann, Benedikt A1 - Denner, Ansgar A1 - Hofer, Lars T1 - Next-to-leading-order electroweak corrections to the production of three charged leptons plus missing energy at the LHC JF - Journal of High Energy Physics N2 - The production of a neutral and a charged vector boson with subsequent decays into three charged leptons and a neutrino is a very important process for precision tests of the Standard Model of elementary particles and in searches for anomalous triple-gauge-boson couplings. In this article, the first computation of next-to-leading-order electroweak corrections to the production of the four-lepton final states μ\(^{+}\)μ\(^{−}\)e\(^{+}\)ν\(_{e}\), μ\(^{+}\)μ\(^{−}\)e\(^{−}\)ν\(_{e}\), μ\(^{+}\)μ\(^{−}\)μ\(^{+}\)ν\(_{μ}\), and μ\(^{+}\)μ\(^{−}\)μ\(^{−}\)ν\(_{μ}\) at the Large Hadron Collider is presented. We use the complete matrix elements at leading and next-to-leading order, including all off-shell effects of intermediate massive vector bosons and virtual photons. The relative electroweak corrections to the fiducial cross sections from quark-induced partonic processes vary between −3% and −6%, depending significantly on the event selection. At the level of differential distributions, we observe large negative corrections of up to −30% in the high-energy tails of distributions originating from electroweak Sudakov logarithms. Photon-induced contributions at next-to-leading order raise the leading-order fiducial cross section by +2%. Interference effects in final states with equal-flavour leptons are at the permille level for the fiducial cross section, but can lead to sizeable effects in off-shell sensitive phase-space regions. KW - NLO Computations KW - Large Hadron Collider KW - next-to-leading-order electroweak corrections Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170219 VL - 10 IS - 43 ER - TY - JOUR A1 - Min, Chul-Hee A1 - Goth, F. A1 - Lutz, P. A1 - Bentmann, H. A1 - Kang, B.Y. A1 - Cho, B.K. A1 - Werner, J. A1 - Chen, K.-S. A1 - Assaad, F. A1 - Reinert, F. T1 - Matching DMFT calculations with photoemission spectra of heavy fermion insulators: universal properties of the near-gap spectra of SmB\(_{6}\) JF - Scientific Reports N2 - Paramagnetic heavy fermion insulators consist of fully occupied quasiparticle bands inherent to Fermi liquid theory. The gap emergence below a characteristic temperature is the ultimate sign of coherence for a many-body system, which in addition can induce a non-trivial band topology. Here, we demonstrate a simple and efficient method to compare a model study and an experimental result for heavy fermion insulators. The temperature dependence of the gap formation in both local moment and mixed valence regimes is captured within the dynamical mean field (DMFT) approximation to the periodic Anderson model (PAM). Using the topological coherence temperature as the scaling factor and choosing the input parameter set within the mixed valence regime, we can unambiguously link the theoretical energy scales to the experimental ones. As a particularly important result, we find improved consistency between the scaled DMFT density of states and the photoemission near-gap spectra of samarium hexaboride (SmB\(_{6}\)). KW - SmB\(_{6}\) KW - heavy fermion insulators KW - dynamical mean field KW - samarium hexaboride KW - near-gap spectra Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170328 VL - 7 IS - 11980 ER - TY - JOUR A1 - Denner, Ansgar A1 - Lang, Jean-Nicolas A1 - Uccirati, Sandro T1 - NLO electroweak corrections in extended Higgs sectors with RECOLA2 JF - Journal of High Energy Physics N2 - We present the computer code RECOLA2 along with the first NLO electroweak corrections to Higgs production in vector-boson fusion and updated results for Higgs strahlung in the Two-Higgs-Doublet Model and Higgs-Singlet extension of the Standard Model. A fully automated procedure for the generation of tree-level and one-loop matrix elements in general models, including renormalization, is presented. We discuss the application of the Background-Field Method to the extended models. Numerical results for NLO electroweak cross sections are presented for different renormalization schemes in the Two-Higgs-Doublet Model and the Higgs-Singlet extension of the Standard Model. Finally, we present distributions for the production of a heavy Higgs boson. KW - NLO computations KW - phenomenological models KW - Higgs boson Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170673 VL - 7 IS - 87 ER -