Correlation length of the two-dimensional Ising spin glass with bimodal interactions
Disordered Systems and Neural Networks
2007-05-23 v2 Statistical Mechanics
Abstract
We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up equilibration. Our results show that the correlation length grows ~ exp(2J/T) suggesting through hyperscaling that the degenerate ground state is separated from the first excited state by an energy gap ~4J, as would naively be expected.
Keywords
Cite
@article{arxiv.cond-mat/0411305,
title = {Correlation length of the two-dimensional Ising spin glass with bimodal interactions},
author = {Helmut G. Katzgraber and L. W. Lee},
journal= {arXiv preprint arXiv:cond-mat/0411305},
year = {2007}
}
Comments
5 pages, 4 figures, 2 tables