3 papers
math-ph2020
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…
math.AP2019
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…
math.AP2018
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…