Dresden 2026 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 61: Topology – Poster

TT 61.8: Poster

Mittwoch, 11. März 2026, 15:00–17:00, P4

Dirac Quantum Hall States on (Reciprocal) Curved Surfaces — •Maximilian Fürst — University of Regensburg, Regensburg, Germany

Three-dimensional topological insulator nanowires in an axial magnetic field B host peculiar Dirac-type quantum Hall surface states. Spatial variations in the wires’ cross sections allow for shaping curved surfaces and hence for highlighting imprints of geometry and curvature, and their interplay, in the corresponding quantum Hall spectra [1, 2]. We discuss the peculiar spectral and magnetic properties of these systems. We show that these are composed of two classes, one asymptotically insensitive to the surface shape, scaling with B-field like regular quantum Hall states in the plane, and the other with an asymptotic B-field dependence intimately related to the wire geometry. Moreover, we demonstrate that a curved nanowire surface possesses a reciprocal partner nanowire surface such that the respective quantum Hall spectra are dual to each other upon exchanging angular momentum and magnetic flux. Notably, a cone-shaped nanowire, and the Corbino quantum Hall geometry as a limiting case, has a reciprocal partner wire with a dual quantum Hall spectrum that is B-field independent, with corresponding non-magnetic quantum Hall-type eigenstates. We support our analytical findings by numerical results for B-field ranges and wire geometries within reach of current experiment [3].
[1] R. Kozlovsky et al., Phys. Rev. Lett. 124, 126804 (2020)
[2] M. Fürst et al., Phys. Rev. B 109, 195433 (2024)
[3] I. Dusa et al., arXiv:2503.17166 (2025)

Keywords: Curved surface; Landau levels; Topological insulators; Quantum Hall states