This article is cited 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

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

DOI: 10.21883/FTT.2021.08.51158.043

 English version: Physics of the Solid State, 2021, 63:9, 1305–1310

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