SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 17: Topology: Quantum Hall Systems
TT 17.7: Vortrag
Montag, 27. März 2023, 18:30–18:45, HSZ 304
Dirac Landau levels on a pseudosphere — •Maximilian Fürst1, Denis Kochan1,2, Cosimo Gorini3, and Klaus Richter1 — 1Universität Regensburg, 93053 Regensburg, Deutschland — 2Slovak Academy of Sciences, 84511 Bratislava, Slovakia — 3Université Paris-Saclay, 91191 Gif-sur-Yvette, France
Topological insulator nanowires host Dirac-like surface states with strongly suppressed backscattering [1]. As suggested in Ref. [2], surfaces with conical singularity could host Quantum Hall states which lead to an intrinsic angular momentum quantization of an electronic fluid which is put on the tip of the singularity. Topological insulators might be a good platform to examine this experimentally. However, they host surface states with Dirac-like dispersion instead of Schrödinger-like which is assumed in Ref. [2]. This raises the question if such effect may also be observed in those systems. A first step towards the answer is to choose an appropriate surface and calculate the Dirac Landau levels on it. We choose the pseudosphere which has a conical singularity and allows for analytical solution of the emerging eigenvalue equations. The spectrum and the eigenstates are computed for a constant magnetic field which is aligned perpendicularly to the surface. We further use the tight-binding package Kwant [3] to verify our analytically gained results numerically (see Ref. [4]).
[1] X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)
[2] T. Can et al., Phys. Rev. Lett. 117, 266803 (2016)
[3] C. W. Groth et al., New J. Phys. 16, 063065 (2014)
[4] R. Kozlovsky et al., Phys. Rev. Lett. 124, 126804 (2020)