Semiclassical scattering by edge imperfections in topological insulators under magnetic field
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916573542875136 |
|---|---|
| author | Dotdaev, A. S. Rodionov, Ya. I. Rozhkov, A. V. Grigoriev, P. D. |
| author_facet | Dotdaev, A. S. Rodionov, Ya. I. Rozhkov, A. V. Grigoriev, P. D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semiclassical scattering by edge imperfections in topological insulators under magnetic field Dotdaev, A. S. Rodionov, Ya. I. Rozhkov, A. V. Grigoriev, P. D. Mesoscale and Nanoscale Physics Strongly Correlated Electrons 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. |
| title | Semiclassical scattering by edge imperfections in topological insulators under magnetic field |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2408.14540 |