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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 2, Pages 342–354
DOI: https://doi.org/10.4213/tmf10097
(Mi tmf10097)
 

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
Full-text PDF (430 kB) Citations (2)
References:
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.
Funding agency Grant number
Russian Science Foundation 19-11-00316
This work is supported by the Russian Science Foundation under grant 19-11-00316.
Received: 19.03.2021
Revised: 19.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 2, Pages 1144–1155
DOI: https://doi.org/10.1134/S0040577921080109
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10097
  • https://doi.org/10.4213/tmf10097
  • https://www.mathnet.ru/eng/tmf/v208/i2/p342
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:489
    Full-text PDF :116
    References:68
    First page:29
     
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