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Paper detail

Magnetic slowdown of topological edge states

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.

preprint2022arXivOpen access
Guillaume BalSimon BeckerAlexis Drouot
cond-mat.mes-hallmath.APmath-phmath.MPquant-ph
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Guillaume BalSimon BeckerAlexis Drouot

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