TY  - JOUR
A1  - Cerna-Velazco, Nhell
A1  - Faber, Thomas
A1  - Jones-Pérez, Joel
A1  - Porod, Werner
T1  - Constraining sleptons at the LHC in a supersymmetric low-scale seesaw scenario
JF  - European Physical Journal C
N2  - We consider a scenario inspired by natural supersymmetry, where neutrino data is explained within a low-scale seesaw scenario. We extend the Minimal Supersymmetric Standard Model by adding light right-handed neutrinos and their superpartners, the R-sneutrinos, and consider the lightest neutralinos to be higgsino-like. We consider the possibilities of having either an R-sneutrino or a higgsino as lightest supersymmetric particle. Assuming that squarks and gauginos are heavy, we systematically evaluate the bounds on slepton masses due to existing LHC data.
KW  - physics
KW  - particle physics
KW  - neutrino
KW  - R-sneutrino
KW  - supersymmetry (SUSY)
KW  - supersymmetric model
KW  - standard seesaw
KW  - inverse seesaw
KW  - minimal supersymmetric standard model (MSSM)
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-173809
VL  - 77
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  - 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  - 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  - Tuan, Dinh Van
A1  - Scharf, Benedikt
A1  - Žutič, Igor
A1  - Dery, Hanan
T1  - Marrying excitons and plasmons in monolayer transition-metal dichalcogenides
JF  - Physical Review X
N2  - Just as photons are the quanta of light, plasmons are the quanta of orchestrated charge-density oscillations in conducting media. Plasmon phenomena in normal metals, superconductors, and doped semiconductors are often driven by long-wavelength Coulomb interactions. However, in crystals whose Fermi surface is comprised of disconnected pockets in the Brillouin zone, collective electron excitations can also attain a shortwave component when electrons transition between these pockets. In this work, we show that the band structure of monolayer transition-metal dichalcogenides gives rise to an intriguing mechanism through which shortwave plasmons are paired up with excitons. The coupling elucidates the origin for the optical sideband that is observed repeatedly in monolayers of WSe\(_2\) and WS\(_2\) but not understood. The theory makes it clear why exciton-plasmon coupling has the right conditions to manifest itself distinctly only in the optical spectra of electron-doped tungsten-based monolayers.
KW  - physics
KW  - excitons
KW  - plasmons
KW  - semiconductors
KW  - spintronics
KW  - valleytronics
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-173030
VL  - 7
IS  - 4
ER  - 
TY  - JOUR
A1  - Tymoshenko, Y. V.
A1  - Onykiienko, Y. A.
A1  - Müller, T.
A1  - Thomale, R.
A1  - Rachel, S.
A1  - Cameron, A. S.
A1  - Portnichenko, P. Y.
A1  - Efremov, D. V.
A1  - Tsurkan, V.
A1  - Abernathy, D. L.
A1  - Ollivier, J.
A1  - Schneidewind, A.
A1  - Piovano, A.
A1  - Felea, V.
A1  - Loidl, A.
A1  - Inosov, D. S.
T1  - Pseudo-Goldstone magnons in the frustrated \(S=3/2\) Heisenberg helimagnet \(ZnCr_2Se_4\) with a pyrochlore magnetic sublattice
JF  - Physical Review X
N2  - Low-energy spin excitations in any long-range ordered magnetic system in the absence of magnetocrystalline anisotropy are gapless Goldstone modes emanating from the ordering wave vectors. In helimagnets, these modes hybridize into the so-called helimagnon excitations. Here we employ neutron spectroscopy supported by theoretical calculations to investigate the magnetic excitation spectrum of the isotropic Heisenberg helimagnet \({ZnCr_2Se_4}\) with a cubic spinel structure, in which spin\(-3/2\) magnetic \({Cr^{3+}}\) ions are arranged in a geometrically frustrated pyrochlore sublattice. Apart from the conventional Goldstone mode emanating from the \((0~ 0~ {q_h})\) ordering vector, low-energy magnetic excitations in the single-domain proper-screw spiral phase show soft helimagnon modes with a small energy gap of \({∼0.17~ meV}\), emerging from two orthogonal wave vectors \(({q_h}~ 0~ 0)\) and \({(0~ {q_h}~ 0)}\) where no magnetic Bragg peaks are present. We term them pseudo-Goldstone magnons, as they appear gapless within linear spinwave theory and only acquire a finite gap due to higher-order quantum-fluctuation corrections. Our results are likely universal for a broad class of symmetric helimagnets, opening up a new way of studying weak magnon-magnon interactions with accessible spectroscopic methods.
KW  - physics
KW  - spin waves
KW  - helimagnets
KW  - inelastic neutron scattering
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-172770
VL  - 7
IS  - 4
ER  - 
TY  - JOUR
A1  - Adrián-Martínez, S.
A1  - Albert, A.
A1  - André, M.
A1  - Anghinolfi, M.
A1  - Anton, G.
A1  - Ardid, M.
A1  - Aubert, J.-J.
A1  - Baret, B.
A1  - Barrios-Marti, J.
A1  - Basa, S.
A1  - Bertin, V.
A1  - Biagi, S.
A1  - Bormuth, R.
A1  - Bouwhuis, M.C.
A1  - Bruijn, R.
A1  - Brunner, J.
A1  - Buto, J.
A1  - Capone, A.
A1  - Caramete, L.
A1  - Carr, J.
A1  - Chiarusi, T.
A1  - Circella, M.
A1  - Coniglione, R.
A1  - Costantini, H.
A1  - Coyle, P.
A1  - Creusot, A.
A1  - Dekeyser, I.
A1  - Deschamps, A.
A1  - De Bonis, G.
A1  - Distefano, C.
T1  - Stacked search for time shifted high energy neutrinos from gamma ray bursts with the ANTARES neutrino telescope
JF  - European Physical Journal C
N2  - A search for high-energy neutrino emission correlated with gamma-ray bursts outside the electromagnetic prompt-emission time window is presented. Using a stacking approach of the time delays between reported gamma-ray burst alerts and spatially coincident muon-neutrino signatures, data from the Antares neutrino telescope recorded between 2007 and 2012 are analysed. One year of public data from the IceCube detector between 2008 and 2009 have been also investigated. The respective timing profiles are scanned for statistically significant accumulations within 40 days of the Gamma Ray Burst, as expected from Lorentz Invariance Violation effects and some astrophysical models. No significant excess over the expected accidental coincidence rate could be found in either of the two data sets. The average strength of the neutrino signal is found to be fainter than one detectable neutrino signal per hundred gamma-ray bursts in the Antares data at 90% confidence level.
KW  - Search window
KW  - Neutrino data
KW  - Neutrino telescope
KW  - Neutrino emission
KW  - Accidental coincidence
KW  - Gamma-ray bursts
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-181251
VL  - 77
IS  - 1
ER  - 
TY  - JOUR
A1  - Lindert, J. M.
A1  - Pozzorini, S.
A1  - Boughezal, R.
A1  - Campbell, J. M.
A1  - Denner, A.
A1  - Dittmaier, S.
A1  - Gehrmann-De Ridder, A.
A1  - Gehrmann, T.
A1  - Glover, N.
A1  - Huss, A.
A1  - Kallweit, S.
A1  - Maierhöfer, P.
A1  - Mangano, M. L.
A1  - Morgan, T. A.
A1  - Mück, A.
A1  - Petriello, F.
A1  - Salam, G. P.
A1  - Schönherr, M.
A1  - Williams, C.
T1  - Precise predictions for \(V+\)jets dark matter backgrounds
JF  - European Physical Journal C
N2  - High-energy jets recoiling against missing transverse energy (MET) are powerful probes of dark matter at the LHC. Searches based on large MET signatures require a precise control of the \({Z(ν\overline{ν})}+\) jet background in the signal region. This can be achieved by taking accurate data in control regions dominated by \(Z(ℓ^+ℓ^−)+\) jet, \(W(ℓν)+\) jet and \(γ+\) jet production, and extrapolating to the \({Z(ν\overline{ν})}+\) jet background by means of precise theoretical predictions. In this context, recent advances in perturbative calculations open the door to significant sensitivity improvements in dark matter searches. In this spirit, we present a combination of state-of-the-art calculations for all relevant \(V+\) jets processes, including throughout NNLO QCD corrections and NLO electroweak corrections supplemented by Sudakov logarithms at two loops. Predictions at parton level are provided together with detailed recommendations for their usage in experimental analyses based on the reweighting of Monte Carlo samples. Particular attention is devoted to the estimate of theoretical uncertainties in the framework of dark matter searches, where subtle aspects such as correlations across different \(V+\) jet processes play a key role. The anticipated theoretical uncertainty in the \({Z(ν\overline{ν})}+\) jet background is at the few percent level up to the TeV range.
KW  - Physics
KW  - High energy physics
KW  - High-energy jets
KW  - Dark matter
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-172555
VL  - 77
ER  - 
TY  - JOUR
T1  - All-sky search for high-energy neutrinos from gravitational wave event GW170104 with the ANTARES neutrino telescope
JF  - European Physical Journal C
N2  - Advanced LIGO detected a significant gravitational wave signal (GW170104) originating from the coalescence of two black holes during the second observation run on January 4th, 2017. An all-sky high-energy neutrino follow-up search has been made using data from the Antares neutrino telescope, including both upgoing and downgoing events in two separate analyses. No neutrino candidates were found within ±500 s around the GW event time nor any time clustering of events over an extended time window of ±3 months. The non-detection is used to constrain isotropic-equivalent high-energy neutrino emission from GW170104 to less than ∼ 1.2 × \(10^{55}\) erg for a \(E^{−2}\) spectrum. This constraint is valid in the energy range corresponding to the 5–95% quantiles of the neutrino flux [3.2 TeV; 3.6 PeV], if the GW emitter was below the Antares horizon at the alert time.
KW  - high energy physics
KW  - high energy neutrinos
KW  - neutrino telescope
KW  - neutrino emission
KW  - neutrino flux
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-172174
VL  - 77
ER  - 
TY  - JOUR
A1  - Biedermann, Benedikt
A1  - Denner, Ansgar
A1  - Dittmaier, Stefan
A1  - Hofer, Lars
A1  - Jäger, Barbara
T1  - Next-to-leading-order electroweak corrections to the production of four charged leptons at the LHC
JF  - Journal of High Energy Physics
N2  - We present a state-of-the-art calculation of the next-to leading-order electroweak corrections to ZZ production, including the leptonic decays of the Z bosons into μ\(^+\)μ\(^ −\)e\(^+\)e\(^−\) or μ\(^+\)μ\(^−\)μ\(^+\)μ\(^−\) final states. We use complete leading-order and next-to-leading-order matrix elements for four-lepton production, including contributions of virtual photons and all off-shell effects of Z bosons, where the finite Z-boson width is taken into account using the complex-mass scheme. The matrix elements are implemented into Monte Carlo programs allowing for the evaluation of arbitrary differential distributions. We present integrated and differential cross sections for the LHC at 13 TeV both for an inclusive setup where only lepton identification cuts are applied, and for a setup motivated by Higgs-boson analyses in the four-lepton decay channel. The electroweak corrections are divided into photonic and purely weak contributions. The former show the well-known pronounced tails near kinematical thresholds and resonances; the latter are generically at the level of ∼ −5% and reach several −10% in the high-energy tails of distributions. Comparing the results for μ\(^+\)μ\(^−\)e\(^+\)e\(^−\) and μ\(^+\)μ\(^−\)μ\(^+\)μ\(^−\) final states, we find significant differences mainly in distributions that are sensitive to the μ\(^+\)μ\(^−\) pairing in the μ\(^+\)μ\(^−\)μ\(^+\)μ\(^−\) final state. Differences between μ\(^+\)μ\(^−\)e\(^+\)e\(^−\) and μ\(^+\)μ\(^−\)μ\(^+\)μ\(^−\) channels due to interferences of equal-flavour leptons in the final state can reach up to 10% in off-shell-sensitive regions. Contributions induced by incoming photons, i.e. photon-photon and quark-photon channels, are included, but turn out to be phenomenologically unimportant.
KW  - physics
KW  - NLO Computations
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-171966
IS  - 1
ER  - 
TY  - JOUR
A1  - Denner, Ansgar
A1  - Lang, Jean-Nicolas
A1  - Pellen, Mathieu
A1  - Uccirati, Sandro
T1  - Higgs production in association with off-shell top-antitop pairs at NLO EW and QCD at the LHC
JF  - Journal of High Energy Physics
N2  - We present NLO electroweak corrections to Higgs production in association with off-shell top-antitop quark pairs. The full process pp → e +νeµ −ν¯µbb¯H is considered, and hence all interference, off-shell, and non-resonant contributions are taken into account.
The electroweak corrections turn out to be below one per cent for the integrated cross section but can exceed 10% in certain phase-space regions. In addition to its phenomenological relevance, the computation constitutes a major technical achievement as the full NLO virtual corrections involving up to 9-point functions have been computed exactly. The results of the full computation are supported by two calculations in the double-pole approximation. These also allow to infer the effect of off-shell contributions and emphasise their importance especially for the run II of the LHC. Finally, we present combined predictions featuring both NLO electroweak and QCD corrections in a common set-up that will help the experimental collaborations in their quest of precisely measuring the aforementioned process.
KW  - high energy physics
KW  - NLO computations
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-171871
IS  - 2
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  - Erdmenger, Johanna
A1  - Hoyos, Carlos
A1  - O'Bannon, Andy
A1  - Papadimitriou, Ioannis
A1  - Probst, Jonas
A1  - Wu, Jackson M.S.
T1  - Two-point functions in a holographic Kondo model
JF  - Journal of High Energy Physics
N2  - We develop the formalism of holographic renormalization to compute two-point functions in a holographic Kondo model. The model describes a (0 + 1)-dimensional impurity spin of a gauged SU(N ) interacting with a (1 + 1)-dimensional, large-N , strongly-coupled Conformal Field Theory (CFT). We describe the impurity using Abrikosov pseudo-fermions, and define an SU(N )-invariant scalar operator O built from a pseudo-fermion and a CFT fermion. At large N the Kondo interaction is of the form O\(^{†}\)O, which is marginally relevant, and generates a Renormalization Group (RG) flow at the impurity. A second-order mean-field phase transition occurs in which O condenses below a critical temperature, leading to the Kondo effect, including screening of the impurity. Via holography, the phase transition is dual to holographic superconductivity in (1 + 1)-dimensional Anti-de Sitter space. At all temperatures, spectral functions of O exhibit a Fano resonance, characteristic of a continuum of states interacting with an isolated resonance. In contrast to Fano resonances observed for example in quantum dots, our continuum and resonance arise from a (0 + 1)-dimensional UV fixed point and RG flow, respectively. In the low-temperature phase, the resonance comes from a pole in the Green’s function of the form −i〈O〉\(^{2}\), which is characteristic of a Kondo resonance.
KW  - holography and condensed matter physics (AdS/CMT)
KW  - AdS-CFT Correspondence
KW  - gauge-gravity correspondence
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-171139
VL  - 3
IS  - 39
ER  - 
TY  - JOUR
A1  - Deacon, R. S.
A1  - Wiedenmann, J.
A1  - Bocquillon, E.
A1  - Domínguez, F.
A1  - Klapwijk, T. M.
A1  - Leubner, P.
A1  - Brüne, C.
A1  - Hankiewicz, E. M.
A1  - Tarucha, S.
A1  - Ishibashi, K.
A1  - Buhmann, H.
A1  - Molenkamp, L. W.
T1  - Josephson Radiation from Gapless Andreev Bound States in HgTe-Based Topological Junctions
JF  - Physical Review X
N2  - Frequency analysis of the rf emission of oscillating Josephson supercurrent is a powerful passive way of probing properties of topological Josephson junctions. In particular, measurements of the Josephson emission enable the detection of topological gapless Andreev bound states that give rise to emission at half the Josephson frequency f\(_{J}\) rather than conventional emission at f\(_{J}\). Here, we report direct measurement of rf emission spectra on Josephson junctions made of HgTe-based gate-tunable topological weak links. The emission spectra exhibit a clear signal at half the Josephson frequency f\(_{J}\)/2. The linewidths of emission lines indicate a coherence time of 0.3–4 ns for the f\(_{J}\)/2 line, much shorter than for the f\(_{J}\) line (3–4 ns). These observations strongly point towards the presence of topological gapless Andreev bound states and pave the way for a future HgTe-based platform for topological quantum computation.
KW  - condensed matter physics
KW  - Josephson junctions
KW  - topological materials
KW  - gapless Andreev bound states
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170969
VL  - 7
IS  - 021011
ER  - 
TY  - JOUR
A1  - Amoretti, Andrea
A1  - Areán, Daniel
A1  - Argurio, Riccardo
A1  - Musso, Daniele
A1  - Zayas, Leopoldo A. Pando
T1  - A holographic perspective on phonons and pseudo-phonons
JF  - Journal of High Energy Physics
N2  - We analyze the concomitant spontaneous breaking of translation and conformal symmetries by introducing in a CFT a complex scalar operator that acquires a spatially dependent expectation value. The model, inspired by the holographic Q-lattice, provides a privileged setup to study the emergence of phonons from a spontaneous translational symmetry breaking in a conformal field theory and offers valuable hints for the treatment of phonons in QFT at large. We first analyze the Ward identity structure by means of standard QFT techniques, considering both spontaneous and explicit symmetry breaking. Next, by implementing holographic renormalization, we show that the same set of Ward identities holds in the holographic Q-lattice. Eventually, relying on the holographic and QFT results, we study the correlators realizing the symmetry breaking pattern and how they encode information about the low-energy spectrum.
KW  - AdS-CFT correspondence
KW  - effective field theories
KW  - holography and condensed matter physics (AdS/CMT)
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170882
VL  - 5
IS  - 51
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  - 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  - 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  - 
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  - 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  - Biedermann, Benedikt
A1  - Denner, Ansgar
A1  - Pellen, Mathieu
T1  - Complete NLO corrections to W\(^{+}\)W\(^{+}\) scattering and its irreducible background at the LHC
JF  - Journal of High Energy Physics
N2  - The process pp → μ\(^{+}\)ν\(_{μ}\)e\(^{+}\)ν\(_{e}\)jj receives several contributions of different orders in the strong and electroweak coupling constants. Using appropriate event selections, this process is dominated by vector-boson scattering (VBS) and has recently been measured at the LHC. It is thus of prime importance to estimate precisely each contribution. In this article we compute for the first time the full NLO QCD and electroweak corrections to VBS and its irreducible background processes with realistic experimental cuts. We do not rely on approximations but use complete amplitudes involving two different orders at tree level and three different orders at one-loop level. Since we take into account all interferences, at NLO level the corrections to the VBS process and to the QCD-induced irreducible background process contribute at the same orders. Hence the two processes cannot be unambiguously distinguished, and all contributions to the μ\(^{+}\)ν\(_{μ}\)e\(^{+}\)ν\(_{e}\)jj final state should be preferably measured together.
KW  - NLO computations
KW  - vector-boson scattering
KW  - Large Hadron Collider
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170157
VL  - 10
IS  - 124
ER  - 
TY  - THES
A1  - Lang, Jean-Nicolas Olivier
T1  - Automation of electroweak NLO corrections in general models
T1  - Automatisierung von elektroschwachen NLO Korrekturen in allgemeinen Modellen
N2  - The thesis deals with the automated generation and efficient evaluation of scattering amplitudes in general relativistic quantum field theories at one-loop order in perturbation theory. At the
present time we lack signals beyond the Standard Model which, in the past, have guided the
high-energy physics community, and ultimately led to the discovery of new physics phenomena.
In the future, precision tests could acquire this guiding role by systematically probing the Standard Model and constraining Beyond the Standard Model theories. As current experimental
constraints strongly favour Standard Model-like theories, only small deviations with respect to the Standard Model are expected which need to be studied in detail. The required precision
demands one-loop corrections in all future analyses, ideally in a fully automated way, allowing
to test a variety of observables in different models and in an effective field theory approach.
In the process of achieving this goal we have developed an enhanced version of the tool
Recola and on this basis the generalization Recola2. These tools represent fully automated
tree- and one-loop-amplitude providers for the Standard Model, or in the case of Recola2
for general models. Concerning the algorithm, we use a purely numerical and fully recursive
approach allowing for extreme calculations of yet unmatched complexity. Recola has led to the first computation involving 9-point functions. Beyond the Standard Model theories and Effective Field theories are integrated into the Recola2 framework as model files. Renormalized model files are produced with the newly developed tool Rept1l, which can perform the renormalization in a fully automated way, starting from nothing but Feynman rules. In view of validation, we have extended Recola2 to new gauges such as the Background-Field Method and the class of Rxi gauges. In particular, the Background-Field Method formulation for new theories serves as an automated validation, and is very useful in practical calculations and the formulation of renormalization conditions. We have applied the system to produce the first results for Higgs-boson production in Higgs strahlung and vector-boson fusion in the Two-Higgs-Doublet Model and the Higgs-Singlet Extension of the Standard Model. All in all, we have laid the foundation for an automated generation and computation of one-loop amplitudes within a large class of phenomenologically interesting theories. Furthermore, we enable the use of our system via a very flexible and dynamic control which does not require any intermediate intervention.
N2  - In dieser Arbeit behandeln wir die automatisierte Generierung und effiziente Auswertung von Streuamplituden in allgemeinen relativistischen Quantenfeldtheorien auf Einschleifen-Niveau. Gegenwärtig gibt es keine konkreten
Hinweise auf Physik jenseits des Standard Models und daher auch keine Möglichkeit, gezielt nach neuer Physik in Teilchenbeschleuniger-Experimenten zu suchen. In der Zukunft könnten Präzisionstests eine richtungsweisende Rolle übernehmen und Aufschluss über Abweichungen zum Standard Model geben, und dabei möglicherweise erlauben, indirekt auf neue Physik zu schließen. Nach dem derzeitigen experimentellen Stand werden Standard-Model-artige Theorien deutlich bevorzugt. Infolgedessen werden nur kleine Abweichungen zum Standard Model erwartet, die mit hoher Präzision untersucht werden müssen. Auf der
theoretischen Seite erfordert die nötige Präzision die Berechnung von Einschleifen-Korrekturen in allen zukünftigen Analysen, die, idealerweise, vollautomatisiert durchgeführt werden, um alle grundsätzlich zugänglichen
Observablen in verschiedensten Theorien testen zu können.

Um dieses Ziel schrittweise zu erreichen, haben wir das Programm Recola weiterentwickelt, und auf dieser Basis die Verallgemeinerung Recola2 entwickelt. Die Programme erlauben eine vollautomatisierte Erzeugung und Auswertung von Baumgraphen- und Einschleifen-Amplituden für das Standard Model, beziehungsweise, im Falle von Recola2, für allgemeine Theorien. Der zugrundeliegende numerische Algorithmus arbeitet vollständig rekursiv und erlaubt die Berechnung von Prozessen mit bislang unerreichter Komplexität. Beispielsweise hat Recola zur ersten Berechnung mit 9-Punkt Funktionen geführt.

In Recola2 werden neue Theorien durch spezifische Recola2 Modelfiles in das System integriert. Die Renormierung wird mit dem neu entwickelten Programm Reptil vollautomatisch durchgeführt, wobei lediglich die Feynman Regeln als externe Abhängigkeit benötigt werden. Zur Validierung des Systems wurden zum einen Vergleiche mit unabhängigen Rechnungen durchgeführt, und zum anderen Recola2 soweit verallgemeinert, dass dessen Konsistenz in verschiedenen Eichungen getestet werden kann. Besonders die
Background-Field Formulierung erlaubt es neue Theorien automatisch zu validieren und ist darüberhinaus sehr nützlich für praktische Rechnungen, sowie für die Formulierung von Renormierungsbedingungen. Mit diesem System haben wir die ersten Berechnungen zur Higgs-Boson-Produktion in Higgs-Strahlung und Vektor-Boson-Fusion im Zwei-Higgs-Doublet Model und der Higgs-Singlet Erweiterung des Standard Models durchgeführt. Alles in allem wurden die Voraussetzungen geschaffen, Einschleifen-Amplituden in einer großen Klasse von phänomenologisch interessanten Theorien automatisiert erzeugen zu können. Darüberhinaus
ermöglichen wir die Nutzung für andere durch eine sehr flexible und dynamische Bedienung, die keinerlei Zwischenschritte benötigt.
KW  - Standardmodell <Elementarteilchenphysik>
KW  - Feynman diagrams
KW  - One-loop corrections
KW  - Beyond the Standard Model
KW  - Atomphysik
KW  - Molekularphysik
KW  - Kernphysik
KW  - Elementarteilchen
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-154426
ER  - 
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  - THES
A1  - Jürgens, Stefan
T1  - Correlated Topological Materials
T1  - Korrelierte Topologische Materialien
N2  - The topic of this PhD thesis is the combination of topologically non-trivial phases with correlation effects stemming from Coulomb interaction between the electrons in a condensed matter system. Emphasis is put on both emerging benefits as well as hindrances, e.g. concerning the topological protection in the presence of strong interactions. 

The physics related to topological effects is established in Sec. 2. Based on the topological band theory, we introduce topological materials including Chern insulators, topological insulators in two and three dimensions as well as Weyl semimetals. Formalisms for a controlled treatment of Coulomb correlations are presented in Sec. 3, starting with the topological field theory. The Random Phase Approximation is introduced as a perturbative approach, while in the strongly interacting limit the theory of quantum Hall ferromagnetism applies. Interactions in one dimension are special, and are treated through the Luttinger liquid description. The section ends with an overview of the expected benefits offered by the combination of topology and interactions, see Sec. 3.3. 

These ideas are then elaborated in the research part. In Chap. II, we consider weakly interacting 2D topological insulators, described by the Bernevig-Hughes-Zhang model. This is applicable, e.g., to quantum well structures made of HgTe/CdTe or InAs/GaSb. The bulk band structure is here a mixture stemming from linear Dirac and quadratic Schrödinger fermions. We study the low-energy excitations in Random Phase Approximation, where a new interband plasmon emerges due to the combined Dirac and Schrödinger physics, which is absent in the separate limits. Already present in the undoped limit, one finds it also at finite doping, where it competes with the usual intraband plasmon. The broken particle-hole symmetry in HgTe quantum wells allows for an effective separation of the two in the excitation spectrum for experimentally accessible parameters, in the right range for Raman or electron loss spectroscopy. The interacting bulk excitation spectrum shows here clear differences between the topologically trivial and topologically non-trivial regime. An even stronger signal in experiments is expected from the optical conductivity of the system. It thus offers a quantitative way to identify the topological phase of 2D topological insulators from a bulk measurement. 

In Chap. III, we study a strongly interacting system, forming an ordered, quantum Hall ferromagnetic state. The latter can arise also in weakly interacting materials with an applied strong magnetic field. Here, electrons form flat Landau levels, quenching the kinetic energy such that Coulomb interaction can be dominant. These systems define the class of quantum Hall topological insulators: topologically non-trivial states at finite magnetic field, where the counter-propagating edge states are protected by a symmetry (spatial or spin) other than time-reversal. Possible material realizations are 2D topological insulators like HgTe heterostructures and graphene. In our analysis, we focus on the vicinity of the topological phase transition, where the system is in a strongly interacting quantum Hall ferromagnetic state. The bulk and edge physics can be described by a nonlinear \sigma-model for the collective order parameter of the ordered state. We find that an emerging, continuous U(1) symmetry offers topological protection. If this U(1) symmetry is preserved, the topologically non-trivial phase persists in the presence of interactions, and we find a helical Luttinger liquid at the edge. The latter is highly tunable by the magnetic field, where the effective interaction strength varies from weakly interacting at zero field, K \approx 1, to diverging interaction strength at the phase transition, K -> 0. 

In the last Chap. IV, we investigate whether a Weyl semimetal and a 3D topological insulator phase can exist together at the same time, with a combined, hybrid surface state at the joint boundaries. An overlap between the two can be realized by Coulomb interaction or a spatial band overlap of the two systems. A tunnel coupling approach allows us to derive the hybrid surface state Hamiltonian analytically, enabling a detailed study of its dispersion relation. For spin-symmetric coupling, new Dirac nodes emerge out of the combination of a single Dirac node and a Fermi arc. Breaking the spin symmetry through the coupling, the dispersion relation is gapped and the former Dirac node gets spin-polarized. We propose experimental realizations of the hybrid physics, including compressively strained HgTe as well as heterostructures of topological insulator and Weyl semimetal materials, connected to each other, e.g., by Coulomb interaction.
N2  - Das Thema dieser Doktorarbeit ist die Kombination von topologisch nicht-trivialen (TnT) Phasen mit Coulomb Wechselwirkungseffekten, die zwischen den Elektronen eines Systems der kondensierten Materie auftreten. Ein Schwerpunkt wird sowohl auf die sich ergebenen Vorteile als auch möglichen Nachteile gelegt, z.B. bezogen auf den topologischen Schutz in der Gegenwart von starker Wechselwirkung. 

Die topologischen Effekte in der Physik werden in Kap. 2 vorgestellt. Basierend auf der topologischen Bandtheorie führen wir die topologischen Materialien ein, inklusive Chern Isolatoren, topologischer Isolatoren (TIs) in zwei und drei Dimensionen und Weyl Halbmetallen (WSMs). Die Formalismen für eine kontrollierte Behandlung der Coulomb Korrelationen werden in Kap. 3 präsentiert, beginnend mit der topologischen Feldtheorie. Die Random Phase Approximation bietet einen störungstheoretischen Ansatz, während im Bereich der starken Wechselwirkung die Theorie des Quanten-Hall-Ferromagnetismus greift. Wechselwirkende Systeme in einer Dimension sind besonders und werden von uns als Luttinger Flüssigkeit beschrieben. Das Kapitel endet mit einem Überblick über die zu erwartenden Vorteile und Möglichkeiten einer Kombination von Topologie und Korrelationen in Kap. 3.3. 

Diese Ideen werden im Forschungsteil weiter ausgeführt. In Kap. II beschäftigen wir uns mit schwach wechselwirkenden, zweidimensionalen (2D) TIs, beschrieben durch das Bernevig-Hughes-Zhang Modell. Dies ist z.B. anwendbar für Quantentrogstrukturen basierend auf HgTe/CdTe oder InAs/GaSb. Die Bandstruktur im Volumen ist hier gegeben durch eine Mischung aus linearen Dirac and quadratischen Schrödinger Fermionen. Wir untersuchen die Anregungen für kleine Energien mittels Random Phase Approximation und finden ein neues Interbandplasmon, das aus der Kombination von Dirac und Schrödinger Physik entspringt und in den jeweiligen Grenzfällen nicht existiert. Während es bereits im undotierten Fall zu finden ist, konkurriert es bei endlicher Dotierung mit dem gewöhnlichen Intrabandplasmon. Die gebrochene Teilchen-Loch Symmetrie in HgTe Quantentrögen ermöglicht eine Trennung der Beiden im Anregungsspektrum, für experimentell zugängliche Parameter in der richtigen Größenordnung für Raman- oder Elektronenspektroskopie. Das wechselwirkende Anregungsspektrum des Bulk zeigt hier klare Unterschiede zwischen dem topologisch trivialen und nicht-trivialen Regime. Ein noch deutlicheres experimentelles Signal erwarten wir von der optischen Leitfähigkeit des Systems, welche somit eine quantitative Möglichkeit bietet, zwischen den topologischen Phasen eines 2D TIs mittels einer Bulk Messung zu unterscheiden. 

In Kap. III untersuchen wir stark-wechselwirkende Systeme, die sich in einem geordneten, Quanten-Hall-Ferromagnetischen (QHFM) Zustand befinden. Dieser Zustand kann auch in schwach-wechselwirkenden Systemen in einem starken magnetischen Feld auftreten. In diesem Fall bilden die Elektronen flache Landau-Niveaus mit minimierter kinetischer Energie aus, sodass die Coulomb Wechselwirkung dominiert. Solche Systeme bilden die Klasse der Quanten-Hall topologischen Isolatoren (QHTIs): TnT Zustände bei endlichem Magnetfeld, deren gegenläufige Randzustände nicht durch Zeitumkehr, sondern durch räumliche oder spin Symmetrien geschützt werden. Infrage kommende Materialien sind 2D TIs wie HgTe Heterostrukturen oder Graphen. Unsere Analyse fokussiert sich auf die Umgebung des topologischen Phasenübergangs, in der sich das System in dem stark-wechselwirkenden QHFM Zustand befindet. Hier kann die Physik sowohl des Bulks als auch die der Randzustände mittels des nichtlinearen \sigma-Modells für den Ordnungsparameter beschrieben werden. Wir zeigen, dass eine effektive, kontinuierliche U(1) Symmetrie für den topologischen Schutz sorgt. Ist diese Symmetrie erhalten, bleibt die TnT Phase auch für starke Wechselwirkungen bestehen und die Randzustände bilden eine helikale Luttinger Flüssigkeit. Diese kann durch das magnetische Feld stark beeinflusst werden, sodass die effektive Wechselwirkungsstärke zwischen schwach wechselwirkend für vernachlässigbares Feld, K \approx 1, und stark wechselwirkend am topologischen Phasenübergang, K -> 0, variiert. 

Im letzten Kap. IV erforschen wir, ob WSM- and drei-dimensionale TI-Phasen zeitgleich und am selben Ort existieren können, mit einem hybriden Oberflächenzustand an der gemeinsamen Grenzfläche. Ein entsprechender Austausch zwischen den Materialien kann durch Coulomb Wechselwirkung oder eine räumliche Bandüberlagerung realisiert werden. Ein Tunnelkopplungsansatz erlaubt es uns, den hybriden Oberflächenhamiltonian analytisch herzuleiten und ermöglicht so eine detaillierte Analyse der Oberflächendispersionsrelation. Im Fall von spin-symmetrischer Kopplung entstehen weitere Diracpunkte aus der Kombination eines einzelnen Diracpunktes und eines Fermibogens. Bricht man die Spinsymmetrie durch die Kopplung entstehen Bandlücken in der Oberflächendispersion und die ursprünglichen Diracpunkte werden spinpolarisiert. Wir schlagen experimentelle Umsetzungen dieser hybriden Physik vor, z.B. kompressiv verspanntes HgTe oder auch Heterostrukturen aus TI and WSM Materialien.
KW  - Topologie
KW  - Elektronenkorrelation
KW  - Mesoskopisches System
KW  - Topological insulators
KW  - Weyl semimetals
KW  - Correlation effects
KW  - Topologischer Isolator
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-152202
ER  -