Absolutely continuous spectrum for truncated topological insulators

• URL: http://arxiv.org/abs/2410.02157v1
• Date: Thu, 3 Oct 2024 02:39:57 GMT
• Title: Absolutely continuous spectrum for truncated topological insulators
• Abstract summary: We show that if a topological insulator is truncated along a curve that separates the plane in two sufficiently large regions, 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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].

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