A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses
Disordered Systems and Neural Networks
2009-11-07 v3
Abstract
A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional +/-J Edwards-Anderson model. The new algorithm allows us to equilibrate systems of size 100^2 down to temperature T = 0.1. Our main result is that the correlation length diverges as an exponential and not as a power law as T -> Tc = 0.
Cite
@article{arxiv.cond-mat/0101116,
title = {A Cluster Monte Carlo Algorithm for 2-Dimensional Spin Glasses},
author = {J. Houdayer},
journal= {arXiv preprint arXiv:cond-mat/0101116},
year = {2009}
}
Comments
6 pages, 9 figures, section 2 completly rewritten