4 citations · 5 across the 2 of their papers we have counts for
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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…
Characterization of edge states in perturbed honeycomb structures
Alexis Drouot
This paper is a mathematical analysis of conduction effects at interfaces between insulators. Motivated by work of Haldane-Raghu , we continue the study of a linear PDE initiated i…
Defect modes for dislocated periodic media
Alexis Drouot, Charles L. Fefferman, Michael I. Weinstein
We study defect modes in a one-dimensional periodic medium with a dislocation. The model is a periodic Schrodinger operator on , perturbed by an adiabatic dislocation o…
The bulk-edge correspondence for continuous dislocated systems
Alexis Drouot
We study topological aspects of defect modes for a family of operators on . is a periodic Schrödinger operator…