On classical spin-glass models
- 1 January 1987
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 48 (5) , 713-721
- https://doi.org/10.1051/jphys:01987004805071300
Abstract
A simple general method is presented for solving mean-field spin-glass models where the bond-randomness is expressible in terms of an underlying site-randomness. The method is based on the observation that the Hamiltonian of these models is a quadratic form of sublattice magnetizations and that the free energy can be evaluated in terms of eigenvalues and eigenvectors without using replicas. Both separable and non-separable models can be solved. While for separable models the number of order-parameters necessary to describe a system is independent of the probability distribution for the site-variables this proves not to be the case for the non-separable models, where this number increases, as continuous distributions are approachedKeywords
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