Topological edge spectrum along curved interfaces

• URL: http://arxiv.org/abs/2311.00918v1
• Date: Thu, 2 Nov 2023 01:24:20 GMT
• Title: Topological edge spectrum along curved interfaces
• Abstract summary: We prove that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show that topological insulators that fit within strips do not need to admit conducting boundary modes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We prove that that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show that topological insulators that fit within strips do not need to admit conducting boundary modes.

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