Absolutely continuous spectrum for truncated topological insulators

Autor: Drouot, Alexis, Shapiro, Jacob, Zhu, Xiaowen
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 spectrum. Our approach combines a recent version of the bulk-edge correspondence along curves that separates geometry and intrinsic conductance [DZ24], with a result about absolutely continuous spectrum for straight edges [BW22].
Comment: 19 pages, 4 figures
Databáze: arXiv