Magnetic slowdown of topological edge states
Mathematical Physics
2022-01-19 v1 Mesoscale and Nanoscale Physics
Analysis of PDEs
math.MP
Quantum Physics
Abstract
We study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We construct semiclassical wavepackets propagating along the curved interface as adiabatic modulations of straight edge states under constant magnetic fields. While in the magnetic-free case, the wavepackets propagate coherently at speed one, here they experience slowdown, dispersion, and Aharonov - Bohm effects. Several numerical simulations illustrate our results.
Keywords
Cite
@article{arxiv.2201.07133,
title = {Magnetic slowdown of topological edge states},
author = {Guillaume Bal and Simon Becker and Alexis Drouot},
journal= {arXiv preprint arXiv:2201.07133},
year = {2022}
}