Generalised Bose-Einstein phase transition in large-$m$ component spin glasses
Statistical Mechanics
2007-05-23 v3
Abstract
It is proposed to understand finite dimensional spin glasses using a expansion, where is the number of spin components. It is shown that this approach predicts a replica symmetric state in finite dimensions. The point about which the expansion is made, the infinite- limit, has been studied in the mean-field limit in detail and has a very unusual phase transition, rather similar to a Bose-Einstein phase transition but with macroscopically occupied low-lying states.
Cite
@article{arxiv.cond-mat/0310531,
title = {Generalised Bose-Einstein phase transition in large-$m$ component spin glasses},
author = {T. Aspelmeier and M. A. Moore},
journal= {arXiv preprint arXiv:cond-mat/0310531},
year = {2007}
}
Comments
4 pages (plus a few lines), 3 figures. v2: minor error corrected. v3: numerics supplemented by analytical arguments, references added, figure of density of states added