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math-ph2024
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…
math-ph2024★ 1 cited
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 …
math-ph2024
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…