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

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    simulation
    phase diagrams
    exponents

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Deng, Y., Garoni, T. M., Guo, W., Blöte, H. W. J., & Sokal, A. D. (2007). Cluster simulations of loop models on two-dimensional lattices. Physical Review Letters, 98(12), [120601]. https://doi.org/10.1103/PhysRevLett.98.120601

    Cluster simulations of loop models on two-dimensional lattices. / Deng, Youjin; Garoni, Timothy M.; Guo, Wenan; Blöte, Henk W J; Sokal, Alan D.

    In: Physical Review Letters, Vol. 98, No. 12, 120601, 21.03.2007.

    Research output: Contribution to journalArticle

    Deng, Y, Garoni, TM, Guo, W, Blöte, HWJ & Sokal, AD 2007, 'Cluster simulations of loop models on two-dimensional lattices', Physical Review Letters, vol. 98, no. 12, 120601. https://doi.org/10.1103/PhysRevLett.98.120601
    Deng, Youjin ; Garoni, Timothy M. ; Guo, Wenan ; Blöte, Henk W J ; Sokal, Alan D. / Cluster simulations of loop models on two-dimensional lattices. In: Physical Review Letters. 2007 ; Vol. 98, No. 12.
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