STUDY OF COHERENT ANOMALIES AND CRITICAL EXPONENTS BASED ON HIGH-LEVEL CLUSTER-VARIATION APPROXIMATIONS

被引：19

作者：

FUJIKI, S ^{[1
]}

KATORI, M ^{[1
]}

SUZUKI, M ^{[1
]}

机构：

[1] UNIV TOKYO,FAC SCI,DEPT PHYS,BUNKYO KU,TOKYO 113,JAPAN

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1990年 / 59卷 / 08期

关键词：

cluster-variation method; coherent anomaly; critical exponent; Ising model; two-dimensional and three-dimensional lattices;

D O I：

10.1143/JPSJ.59.2681

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The coherent-anomaly scaling property of the susceptibility for the Ising model is investigated using the Tanoji (a Chinese character which means a rice field) and cube cluster-approximations in the cluster-variation method on the square and simple cubic lattices, respectively. Estimates of the critical temperature and critical exponent are improved considerably by the inclusion of these high-level cluster-variation approximations in the coherent-anomaly extrapolation. It is also found that the dimen-sionality of the basic cluster is sensitive to the evaluation of critical exponents in higher dimensions. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：2681 / 2687

页数：7

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