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
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.
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页码:2681 / 2687
页数:7
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