Math @ Duke
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Publications [#361669] of Jianfeng Lu
Papers Published
- Bal, G; Becker, S; Drouot, A; Kammerer, CF; Lu, J; Watson, A, Edge state dynamics along curved interfaces
(June, 2021)
(last updated on 2024/04/22)
Abstract: We study the propagation of wavepackets along weakly curved interfaces
between topologically distinct media. Our Hamiltonian is an adiabatic
modulation of Dirac operators omnipresent in the topological insulators
literature. Using explicit formulas for straight edges, we construct a family
of solutions that propagates, for long times, unidirectionally and
dispersion-free along the curved edge. We illustrate our results through
various numerical simulations.
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