Semiclassical scattering by edge imperfections in topological insulators under magnetic field
Mesoscale and Nanoscale Physics
2025-01-22 v1 Strongly Correlated Electrons
Abstract
We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry, opening the possibility of the scattering of otherwise topologically protected fermionic edge states. The scattering happens to be always an over-barrier event, irrespective of the shape of the edge deformation and magnitude of the magnetic field. We use the advanced Pokrovsky-Khalatnikov semiclassical approach, which allows us to obtain analytically both the main exponential and pre-exponential factors of the scattering amplitude for wide classes of analytic deformation profiles.
Keywords
Cite
@article{arxiv.2408.14540,
title = {Semiclassical scattering by edge imperfections in topological insulators under magnetic field},
author = {A. S. Dotdaev and Ya. I. Rodionov and A. V. Rozhkov and P. D. Grigoriev},
journal= {arXiv preprint arXiv:2408.14540},
year = {2025}
}
Comments
25 pages, 17 figures