Magnetic slowdown of topological edge states
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Date
2024-02
Publication Type
Journal Article
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yes
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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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published
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77 (2)
Pages / Article No.
1235 - 1277
Publisher
Wiley
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Organisational unit
02500 - Forschungsinstitut für Mathematik / Institute for Mathematical Research