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Mathematical Physics

arXiv:2311.00918 (math-ph)
[Submitted on 2 Nov 2023 ]

Title: Topological edge spectrum along curved interfaces

Title: 弯曲界面的拓扑边缘谱

Authors:Alexis Drouot, Xiaowen Zhu
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.
Abstract: 我们证明了,如果一个拓扑绝缘体的边界将平面分为包含任意大球体的两个区域,则它表现为导体。相反,我们还证明了限制在条带内的拓扑绝缘体不需要允许存在导电边界模式。
Comments: 20 pages, 4 figures
Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Spectral Theory (math.SP); Quantum Physics (quant-ph)
Cite as: arXiv:2311.00918 [math-ph]
  (or arXiv:2311.00918v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2311.00918
arXiv-issued DOI via DataCite

Submission history

From: Xiaowen Zhu [view email]
[v1] Thu, 2 Nov 2023 01:24:20 UTC (136 KB)
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