Cluster Method of Constructing Bethe Approximation for the Ising Model of a Dilute Magnet

被引：4

作者：

Semkin, S. V. ^{[1
]}

Smagin, V. P. ^{[1
]}

机构：

[1] Vladivostok State Univ Econ & Serv, Vladivostok, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2018年 / 60卷 / 10期

关键词：

phase transitions; Bethe approximation; Ising model; dilute magnet; CRITICAL-BEHAVIOR; FERROMAGNET;

D O I：

10.1007/s11182-018-1285-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper offers an interpretation of Bethe approximation based on comparison of spin clusters of different sizes on the Cayley tree. Based on this interpretation, the authors suggested the method to construct Bethe approximation for the node- or bond-diluted Ising magnet. The method provides an accurate value of the percolation threshold for the Bethe lattice. For different variations of this method, the authors constructed spontaneous magnetizations at zero and final temperatures as a function of concentration of magnetic atoms and found an analytical expression for the critical indicator of the correlation length.

引用

页码：1803 / 1810

页数：8

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