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arXiv · cond-mat/0608447

Cluster simulations of loop models on two-dimensional lattices

Youjin Deng·Timothy M. Garoni·Wenan Guo·Henk W. J. Blote·Alan D. Sokal
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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.

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BibTeXRIS

Youjin Deng, Timothy M. Garoni, Wenan Guo, Henk W. J. Blote, Alan D. Sokal. 2007-03-21. Cluster simulations of loop models on two-dimensional lattices. https://doi.org/10.1103/physrevlett.98.120601

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