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Fizika Tverdogo Tela, 2021, Volume 63, Issue 8, Pages 1084–1089
DOI: https://doi.org/10.21883/FTT.2021.08.51158.043 (Mi ftt8067) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Magnetism

Approximate accounting of spin correlations in the Ising model

S. V. Semkin, V. P. Smagin

Vladivostok State University of Economics and Service
Full-text PDF (129 kB) Citations (1)
DOI: https://doi.org/10.21883/FTT.2021.08.51158.043
Abstract: The expressions for average products of three neighboring spins in the Ising model have been found on lattices with coordination numbers 3 and 4 as functions of temperature and spontaneous magnetization. These expressions are used to compare the exact solution for the Ising model on a square lattice and the solutions found by approximate methods. A method of improving approximate methods is proposed for applying, in particular, to the Bethe approximation and to a change in the critical index of the temperature dependence of the spontaneous magnetization.
Keywords: Ising model, spin correlations, critical indices.
Received: 03.03.2021
Revised: 06.04.2021
Accepted: 10.04.2021
English version:
Physics of the Solid State, 2021, Volume 63, Issue 9, Pages 1305–1310
DOI: https://doi.org/10.1134/S1063783421080278
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Semkin, V. P. Smagin, “Approximate accounting of spin correlations in the Ising model”, Fizika Tverdogo Tela, 63:8 (2021), 1084–1089; Phys. Solid State, 63:9 (2021), 1305–1310
Citation in format AMSBIB
\Bibitem{SemSma21}
\by S.~V.~Semkin, V.~P.~Smagin
\paper Approximate accounting of spin correlations in the Ising model
\jour Fizika Tverdogo Tela
\yr 2021
\vol 63
\issue 8
\pages 1084--1089
\mathnet{http://mi.mathnet.ru/ftt8067}
\crossref{https://doi.org/10.21883/FTT.2021.08.51158.043}
\elib{https://elibrary.ru/item.asp?id=46345438}
\transl
\jour Phys. Solid State
\yr 2021
\vol 63
\issue 9
\pages 1305--1310
\crossref{https://doi.org/10.1134/S1063783421080278}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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