Geodesic
On mathematical problems in the~theory of~topological insulators
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 342-354

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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
Mots-clés : Majorana state. 
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     author = {A. G. Sergeev},
     title = {On mathematical problems in the~theory of~topological insulators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a9/}
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A. G. Sergeev. On mathematical problems in the~theory of~topological insulators. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 342-354. http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a9/