The three-state square-lattice Potts antiferromagnet at zero temperature

Jésus Salas, Alan D. Sokal

    Research output: Contribution to journal › Article

    Abstract

    We study the 3-state square-lattice Potts antiferromagnet at zero temperature by a Monte Carlo simulation using the Wang-Swendsen-Kotecký cluster algorithm, on lattices up to 1024 × 1024. We confirm the critical exponents predicted by Burton and Henley based on the height representation of this model.

    Original languageEnglish (US)
    Pages (from-to)729-764
    Number of pages36
    JournalJournal of Statistical Physics
    Volume92
    Issue number5-6
    StatePublished - Sep 1998

    Fingerprint

    Cluster Algorithm
    Antiferromagnet
    Square Lattice
    Critical Exponents
    Monte Carlo Simulation
    Zero
    exponents
    temperature
    Model
    simulation

    Keywords

    • Antiferromagnetic Potts model
    • Cluster algorithm
    • Critical exponent
    • Critical ground state
    • Height representation
    • Monte Carlo
    • Wang-Swendsen-Kotecký algorithm

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics

    Cite this

    The three-state square-lattice Potts antiferromagnet at zero temperature. / Salas, Jésus; Sokal, Alan D.

    In: Journal of Statistical Physics, Vol. 92, No. 5-6, 09.1998, p. 729-764.

    Research output: Contribution to journal › Article

    Salas, J & Sokal, AD 1998, 'The three-state square-lattice Potts antiferromagnet at zero temperature', Journal of Statistical Physics, vol. 92, no. 5-6, pp. 729-764.
    Salas J, Sokal AD. The three-state square-lattice Potts antiferromagnet at zero temperature. Journal of Statistical Physics. 1998 Sep;92(5-6):729-764.
    Salas, Jésus ; Sokal, Alan D. / The three-state square-lattice Potts antiferromagnet at zero temperature. In: Journal of Statistical Physics. 1998 ; Vol. 92, No. 5-6. pp. 729-764.
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