Magnetic slowdown of topological edge states
- URL: http://arxiv.org/abs/2201.07133v1
- Date: Tue, 18 Jan 2022 17:15:24 GMT
- Title: Magnetic slowdown of topological edge states
- Authors: Guillaume Bal, Simon Becker, and Alexis Drouot
- Abstract summary: We study the propagation of wavepackets along curved interfaces between topological, magnetic materials.
We construct semiclassical wavepackets propagating along the curved interface as adiabatic modulations of straight edge states under constant magnetic fields.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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