3 papers
math-ph2026
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…
math-ph2026
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}…
math-ph2025
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…