30 citations · 100 across the 11 of their papers we have counts for
17 papers
Topological insulators in semiclassical regime
Alexis Drouot
We study solutions of systems on in the semiclassical regime . Our Dirac operator is a st…
Magnetic slowdown of topological edge states
Guillaume Bal, Simon Becker, Alexis Drouot
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 c…
Edge state dynamics along curved interfaces
Guillaume Bal, Simon Becker, Alexis Drouot +3
We study the propagation of wavepackets along weakly curved interfaces between topologically distinct media. Our Hamiltonian is an adiabatic modulation of Dirac operators omniprese…
Ubiquity of conical points in topological insulators
Alexis Drouot
We show that generically, the degeneracies of a family of Hermitian matrices depending on three parameters have a conical structure. Our result applies to the study of topological…
Microlocal analysis of the bulk-edge correspondence
Alexis Drouot
The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interf…
The bulk-edge correspondence for continuous honeycomb lattices
Alexis Drouot
We study bulk/edge aspects of continuous honeycomb lattices in a magnetic field. We compute the bulk index of Bloch eigenbundles: it equals or , with sign depending on near…