# Edge state dynamics along curved interfaces

@inproceedings{Bal2021EdgeSD, title={Edge state dynamics along curved interfaces}, author={Guillaume Bal and Simon Becker and Alexis Drouot and Clotilde Fermanian Kammerer and Jianfeng Lu and Alexander B. Watson}, year={2021} }

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.

## 5 Citations

Magnetic slowdown of topological edge states

- Physics
- 2022

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…

Traveling edge states in massive Dirac equations along slowly varying edges

- Physics
- 2022

Edge states attract more and more research interests owing to the novel topologically protected properties. In this work, we studied edge modes and traveling edge states via the linear Dirac equation…

Computing spectral properties of topological insulators without artificial truncation or supercell approximation

- PhysicsArXiv
- 2021

These tools completely avoid such artificial restrictions and allow one to probe the spectral properties of the infinitedimensional operator directly, even in the presence of material defects and disorder.

Approximations of interface topological invariants

- Physics, Mathematics
- 2021

This paper concerns continuous models for two-dimensional topological insulators and superconductors. Such systems are characterized by asymmetric transport along a 1-dimensional curve representing…

Topological charge conservation for continuous insulators

- Physics, Mathematics
- 2021

This paper concerns elliptic (pseudo-)differential Hamiltonians modeling topological insulators and superconductors in Euclidean space. We augment the Hamiltonian by one or several domain walls,…

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