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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)
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DOI: https://doi.org/10.4213/tmf10097
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 Z2-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:
    1. A. G. Sergeev, E. Teplyakov, “Topological phases in the theory of solid states”, Izv. Math., 87:5 (2023), 1051–1061  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. D. P. Fedchenko, P. N. Kim, I. V. Timofeev, “Photonic topological insulator based on frustrated total internal reflection in array of coupled prism resonators”, Symmetry, 14:12 (2022), 2673  crossref
    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:544
    Full-text PDF :140
    References:95
    First page:30
     
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