1 citations · 1 across the 5 of their papers we have counts for
8 papers
Geometric bulk conductances in even dimensions
Alexis Drouot
Let be a short-range projector on and be a transverse family of open subsets of . We give an elem…
Reflectionless edge states in Dirac models of topological insulators
Alexis Drouot
We study an effective model of topological insulators joined along a bent interface. The Hamiltonian is a Dirac operator on $L^2(\mathbb{…
Geometric bulk-edge correspondence for -topological insulators
Alexis Drouot, Jacob Shapiro, Xiaowen Zhu
Fermionic time-reversal-invariant insulators in two dimensions--class AII in the Kitaev table--come in two topological phases. These phases are characterized by a -va…
Edge spectrum for truncated -insulators
Alexis Drouot, Jacob Shapiro, Xiaowen Zhu
Fermionic time-reversal-invariant insulators in two dimensions -- class AII in the Kitaev table -- come in two different topological phases. These are characterized by a $\mathbb{Z…
Absolutely continuous spectrum for truncated topological insulators
Alexis Drouot, Jacob Shapiro, Xiaowen Zhu
We show that if a topological insulator is truncated along a curve that separates the plane in two sufficiently large regions, then the edge system admits absolutely continuous spe…
Band spectrum singularities for Schrödinger operators
Alexis Drouot, Curtiss Lyman
In this paper, we develop a systematic framework to study the dispersion surfaces of Schr{ö}dinger operators , where the potential …
The bulk-edge correspondence for curved interfaces
Alexis Drouot, Xiaowen Zhu
The bulk-edge correspondence is a condensed matter theorem that relates the conductance of a Hall insulator in a half-plane to that of its (straight) boundary. In this work, we ext…
Topological edge spectrum along curved interfaces
Alexis Drouot, Xiaowen Zhu
We prove that that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show…