Exact results on spin glass models

被引：5

作者：

Nishimori, H ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2002年 / 306卷 / 1-4期

关键词：

spin glass; Ising model; random-phase XY model; Villain model; spin wave theory; gauge theory;

D O I：

10.1016/S0378-4371(02)00486-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful to prove that the phase space is not complex on a line in the phase diagram. The spin wave theory neglecting periodicity is shown to give exact results for the Villain model on a line in the phase diagram. Implications of this fact on the renormalization-group results for the random-phase XY/Villain model in two dimensions are discussed, (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：68 / 75

页数：8

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