Cluster simulations of loop models on two-dimensional lattices
Statistical Mechanics
2008-11-26 v3 High Energy Physics - Lattice
Computational Physics
Abstract
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has little or no critical slowing-down when 1 \le n \le 2. We use this algorithm to investigate the honeycomb-lattice O(n) loop model, for which we determine several new critical exponents, and a square-lattice O(n) loop model, for which we obtain new information on the phase diagram.
Keywords
Cite
@article{arxiv.cond-mat/0608447,
title = {Cluster simulations of loop models on two-dimensional lattices},
author = {Youjin Deng and Timothy M. Garoni and Wenan Guo and Henk W. J. Blote and Alan D. Sokal},
journal= {arXiv preprint arXiv:cond-mat/0608447},
year = {2008}
}
Comments
LaTex2e, 4 pages; includes 1 table and 2 figures. Totally rewritten in version 2, with new theory and new data. Version 3 as published in PRL