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Approximate Accounting of Spin Correlations in the Ising Model

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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.

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Authors and Affiliations

  1. Vladivostok State University of Economics and Service, 690019, Vladivostok, Russia

    S. V. Semkin & V. P. Smagin

Authors
  1. S. V. Semkin
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  2. V. P. Smagin
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Correspondence to S. V. Semkin.

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Translated by Yu. Ryzhkov

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Semkin, S.V., Smagin, V.P. Approximate Accounting of Spin Correlations in the Ising Model. Phys. Solid State 63, 1305–1310 (2021). https://doi.org/10.1134/S1063783421080278

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  • DOI: https://doi.org/10.1134/S1063783421080278

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