Loop effects in the Ising spin glass on the Bethe-like lattices

被引：19

作者：

Yokota, Terufumi ^{[1
]}

机构：

[1] Japan Atom Energy Agcy, Neutron Mat Res Ctr, Tokai, Ibaraki 3191195, Japan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 14期

关键词：

Ising spin glass; Bethe lattice; cactus lattice; replica method;

D O I：

10.1016/j.physa.2008.02.022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Equations for the spin glass order in the Ising spin glass model on the Bethe-like lattices with and without small loops are studied. For each lattice, equations are obtained by using and not using the replica method. Within the replica symmetric approximation, equations obtained by the two ways are shown to be identical. To see the effects of the small loops and the replica symmetry breaking, a spin glass order parameter is investigated as a function of the connectivity of the lattices close to the transition temperature. Replica symmetry breaking is enhanced by the existence of small loops. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：3495 / 3502

页数：8

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