On mathematical problems in the theory of topological insulators

Author:

Sergeev A. G.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference17 articles.

1. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, “Quantized Hall conductance in a two-dimensional periodic potential,” Phys. Rev. Lett., 49, 405–408 (1982).

2. A. G. Sergeev, “Applications of noncommutative geometry in function theory and mathematical physics,” Trans. Moscow Math. Soc., 81, 123–167 (2020).

3. A. Kitaev, “Periodic table for topological insulators and superconductors,” in: Advances in Theoretical Physics (Landau memorial conference, Chernogolokova, Russia, 22–26 June 2008), AIP Conference Proceedings, Vol. 1134 (V. Lebedev and M. Feigel’man, eds.), AIP, Melville, NY (2009), pp. 22–30.

4. C. L. Kane and E. J. Mele, “$$\mathbb Z_2$$ topological order and the quantum spin Hall effect,” Phys. Rev. Lett., 95, 146802, 4 pp. (2005).

5. N. W. Ashcroft and D. N. Mermin, Solid State Physics, Oldenbourg Verlag, München (2005).

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