Approximate Accounting of Spin Correlations in the Ising Model

被引：0
作者：
Semkin, S., V [1 ]
Smagin, V. P. [1 ]
机构：
[1] Vladivostok State Univ Econ & Serv, Vladivostok 690019, Russia
来源：
PHYSICS OF THE SOLID STATE | 2021年 / 63卷 / 09期
关键词：
Ising model; spin correlations; critical indices;
D O I：
10.1134/S1063783421080278
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
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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页码：1305 / 1310
页数：6
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