Cluster simulations of loop models on two-dimensional lattices

Youjin Deng, Timothy M. Garoni, Wenan Guo, Henk W.J. Blöte, Alan D. Sokal

    Research output: Contribution to journalArticle

    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≥1. We show that our algorithm has little or no critical slowing-down when 1≤n≤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.

    Original languageEnglish (US)
    Article number120601
    JournalPhysical Review Letters
    Volume98
    Issue number12
    DOIs
    StatePublished - Mar 21 2007

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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