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.
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This work is supported by the Russian Science Foundation under grant 19-11-00316.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2021, Vol. 208, pp. 342-354 https://doi.org/10.4213/tmf10097.
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Sergeev, A.G. On mathematical problems in the theory of topological insulators. Theor Math Phys 208, 1144–1155 (2021). https://doi.org/10.1134/S0040577921080109
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DOI: https://doi.org/10.1134/S0040577921080109