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This article is cited in 2 scientific papers (total in 2 papers)
On mathematical problems in the theory of topological insulators
A. G. Sergeev Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
In this paper, we pay the main attention to the topological insulators invariant under time reversal. Such systems are characterized by having a wide energy gap stable under small deformations. An example of such systems is provided by the quantum spin Hall insulator. It has a nontrivial topological $\mathbb Z_2$-invariant introduced by Kane and Mele.
Keywords:
topological insulator, Bloch theory, Kramers degeneration, Majorana state.
Received: 19.03.2021 Revised: 19.03.2021
Citation:
A. G. Sergeev, “On mathematical problems in the theory of topological insulators”, TMF, 208:2 (2021), 342–354; Theoret. and Math. Phys., 208:2 (2021), 1144–1155
Linking options:
https://www.mathnet.ru/eng/tmf10097https://doi.org/10.4213/tmf10097 https://www.mathnet.ru/eng/tmf/v208/i2/p342
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Abstract page: | 489 | Full-text PDF : | 116 | References: | 68 | First page: | 29 |
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