Random matrix theory in lattice statistical mechanics

J.-Ch Anglès d'Auriac and J.-M Maillard

Physica A: Statistical Mechanics and its Applications, 2003, vol. 321, issue 1, 325-333

Abstract: 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.

Keywords: Lattice theory and statistics (Ising, Potts, etc.); Lattice fermion models (Hubbard model, etc.) (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:321:y:2003:i:1:p:325-333

DOI: 10.1016/S0378-4371(02)01756-9

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