AN ESTIMATE OF THE DEPENDENCE OF THE ISING CRITICAL EXPONENTS ON THE LATTICE DIMENSIONALITY

被引：0
|
作者：
SILVA, PR
机构：
[1] Departmento de Fisica, ICEx, Universidade Federal de Minas Gerais, Belo Horizonte
来源：
PHYSICA STATUS SOLIDI B-BASIC RESEARCH | 1991年 / 167卷 / 01期
关键词：
D O I：
10.1002/pssb.2221670128
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
Upper and lower bounds are estimated of the two-point correlation function exponent, eta, of the Ising model, as a function of the lattice dimensionality, d. The average value of these two bounds together with the correlation length critical exponent nu(d) evaluated by Thompson, lead to a set of critical indexes which satisfy the hyperscaling relation. This set of exponents also shows an adequate agreement with the results obtained by Le-Guillou and Zinn-Justin for the Ising model in non-integer dimensions, in a large range of the parameter d.
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页码：265 / 270
页数：6
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