Absolutely continuous spectrum for truncated topological insulators
Mathematical Physics
2024-10-04 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
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].
Keywords
Cite
@article{arxiv.2410.02157,
title = {Absolutely continuous spectrum for truncated topological insulators},
author = {Alexis Drouot and Jacob Shapiro and Xiaowen Zhu},
journal= {arXiv preprint arXiv:2410.02157},
year = {2024}
}
Comments
19 pages, 4 figures