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TMF, 2021, Volume 208, Number 2, Pages 342–354 (Mi tmf10097)  

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.

Funding Agency Grant Number
Russian Science Foundation 19-11-00316
This work is supported by the Russian Science Foundation under grant 19-11-00316.


DOI: https://doi.org/10.4213/tmf10097

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English version:
Theoretical and Mathematical Physics, 2021, 208:2, 1144–1155

Bibliographic databases:

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

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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