4 papers
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…
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 $V \in C^\infty(\mathbb{R}^n,\mathbb{R}…
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…