ONSET OF LONG-RANGE ORDER IN A PARAMAGNET

被引:7
作者
FISHMAN, RS [1 ]
LIU, SH [1 ]
机构
[1] OAK RIDGE NATL LAB,DIV SOLID STATE,OAK RIDGE,TN 37831
来源
PHYSICAL REVIEW B | 1992年 / 45卷 / 10期
关键词
D O I
10.1103/PhysRevB.45.5406
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The onset of long-range order in a paramagnet is studied using an expansion in powers of 1/z, where z is the number of nearest neighbors. Rather than expand the correlation function itself, we expand the self-energy in powers of 1/z. For both the Ising and Heisenberg models of ferromagnetism, the long-range correlations diverge at the true, shifted Curie temperature. Therefore, the magnetic and paramagnetic results of the 1/z expansion are consistent.
引用
收藏
页码:5406 / 5413
页数:8
相关论文
共 21 条
[1]  
BROUT R, 1965, MAGNETISM A, V2, P43
[2]   LINKED CLUSTER EXPANSIONS IN STATISTICAL THEORY OF FERROMAGNETISM [J].
ENGLERT, F .
PHYSICAL REVIEW, 1963, 129 (02) :567-&
[3]   UNIVERSAL CRITERION FOR THE ONSET OF SUPERCONDUCTIVITY IN GRANULAR FILMS [J].
FERRELL, RA ;
MIRHASHEM, B .
PHYSICAL REVIEW B, 1988, 37 (01) :648-651
[4]   CORRELATION OF PHASE FLUCTUATIONS IN GRANULAR SUPERCONDUCTORS [J].
FISHMAN, RS .
PHYSICAL REVIEW B, 1989, 40 (16) :11014-11026
[5]   NONLINEAR DYNAMICS OF A HEISENBERG-FERROMAGNET [J].
FISHMAN, RS ;
LIU, SH .
PHYSICAL REVIEW B, 1992, 45 (10) :5414-5427
[6]   NEW FORMALISM FOR THE STUDY OF LATTICE HAMILTONIANS [J].
FISHMAN, RS .
PHYSICAL REVIEW B, 1990, 41 (07) :4377-4388
[7]   EXPANSION IN 1/Z FOR THE TRANSITION-TEMPERATURE AND SPECIFIC-HEAT OF FERROMAGNETS [J].
FISHMAN, RS ;
LIU, SH .
PHYSICAL REVIEW B, 1989, 40 (16) :11028-11036
[8]   BREAKDOWN OF THE SPIN-WAVE APPROXIMATION FOR A HEISENBERG-FERROMAGNET [J].
FISHMAN, RS ;
VIGNALE, G .
PHYSICAL REVIEW B, 1991, 44 (02) :658-674
[9]  
FISHMAN RS, UNPUB
[10]   WICKS THEOREM FOR CHARGED SPIN SYSTEMS [J].
GROS, C ;
JOHNSON, MD .
PHYSICAL REVIEW B, 1989, 40 (13) :9423-9426