Topological phases in solid state physics
- Autores: Sergeev A.G.1, Teplyakov E.A.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 87, Nº 5 (2023)
- Páginas: 204-214
- Seção: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/140437
- DOI: https://doi.org/10.4213/im9349
- ID: 140437
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Resumo
The paper is a review devoted to topological phases – one of the actively developing directions in solid state physics. It is given an interpretation of topological phases in terms of generalized cohomology theories and K-theory.
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Sobre autores
Armen Sergeev
Steklov Mathematical Institute of Russian Academy of Sciences
Email: sergeev@mi-ras.ru
Doctor of physico-mathematical sciences, Professor
Egor Teplyakov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: egery23@gmail.com
without scientific degree
Bibliografia
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- C. Bourne, Y. Ogata, “The classification of symmetry protected topological phases of one-dimensional fermion systems”, Forum Math. Sigma, 9 (2021), e25, 45 pp.
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- Z. Xiong, Classification and construction of topological phases of quantum matter
- Guo Chuan Thiang, “On the $K$-theoretic classification of topological phases of matter”, Ann. Henri Poincare, 17:4 (2016), 757–794
- А. Хатчер, Алгебраическая топология, МЦНМО, М., 2011, 688 с.
- A. Kitaev, On the classification of short-range entangled states, Topological Phases of Matter, Stony Brook University, 2013
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