HIGH-TEMPERATURE EXPANSION METHODS FOR ISING SYSTEMS WITH QUENCHED IMPURITIES

被引:25
作者
DITZIAN, RV [1 ]
KADANOFF, LP [1 ]
机构
[1] UNIV CHICAGO, JAMES FRANCK INST, CHICAGO, IL 60637 USA
来源
PHYSICAL REVIEW B | 1979年 / 19卷 / 09期
关键词
D O I
10.1103/PhysRevB.19.4631
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Two methods are used to obtain high-temperature series for Ising systems with quenched randomness. One is a direct averaging of a linked-cluster expansion, the other combines the primitive high-temperature expansion and the Edward replica trick. After a bond renormalization, the second expansion is seen to be identical to the first term by term. The series are developed for the case of a spin-glass model in which the bonds have a probability which is symmetrically distributed about zero. Specifically, series for the free energy and appropriately chosen susceptibility are given to 11th and 10th orders, respectively, for a hypercubic lattice in any dimension and for any symmetrical bond distribution. © 1979 The American Physical Society.
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页码:4631 / 4645
页数:15
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