Random matrix theory in lattice statistical mechanics

被引：7
|
作者：
d'Auriac, JCA
Maillard, JM
机构：
[1] CNRS, Ctr Rech Tres Basses Temp, F-38042 Grenoble, France
[2] Univ Paris 07, LPTHE, F-75252 Paris 05, France
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 321卷 / 1-2期
关键词：
lattice theory and statistics (Ising; Potts; etc.) lattice fermion models (Hubbard model; etc.);
D O I：
10.1016/S0378-4371(02)01756-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this short note we collect together known results on the use of random matrix theory (RMT) in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and secondly it appears to be an effective tool to find new integrable models. Various examples from quantum and classical statistical mechanics are presented. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：325 / 333
页数：9
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