Probing the Almeida-Thouless line away from the mean-field model
Disordered Systems and Neural Networks
2007-05-23 v4
Abstract
Results of Monte Carlo simulations of the one-dimensional long-range Ising spin glass with power-law interactions in the presence of a (random) field are presented. By tuning the exponent of the power-law interactions, we are able to scan the full range of possible behaviors from the infinite-range (Sherrington-Kirkpatrick) model to the short-range model. A finite-size scaling analysis of the correlation length indicates that the Almeida-Thouless line does not occur in the region with non-mean-field critical behavior in zero field. However, there is evidence that an Almeida-Thouless line does occur in the mean-field region.
Keywords
Cite
@article{arxiv.cond-mat/0507138,
title = {Probing the Almeida-Thouless line away from the mean-field model},
author = {Helmut G. Katzgraber and A. P. Young},
journal= {arXiv preprint arXiv:cond-mat/0507138},
year = {2007}
}
Comments
5 pages, 3 figures, 3 tables