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

Jésus Salas, Alan D. Sokal

    Research output: Contribution to journalArticle

    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 journalArticle

    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.
    @article{b7e540ec42c94f018889ae0df5193201,
    title = "The three-state square-lattice Potts antiferromagnet at zero temperature",
    abstract = "We study the 3-state square-lattice Potts antiferromagnet at zero temperature by a Monte Carlo simulation using the Wang-Swendsen-Koteck{\'y} 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.",
    keywords = "Antiferromagnetic Potts model, Cluster algorithm, Critical exponent, Critical ground state, Height representation, Monte Carlo, Wang-Swendsen-Koteck{\'y} algorithm",
    author = "J{\'e}sus Salas and Sokal, {Alan D.}",
    year = "1998",
    month = "9",
    language = "English (US)",
    volume = "92",
    pages = "729--764",
    journal = "Journal of Statistical Physics",
    issn = "0022-4715",
    publisher = "Springer New York",
    number = "5-6",

    }

    TY - JOUR

    T1 - The three-state square-lattice Potts antiferromagnet at zero temperature

    AU - Salas, Jésus

    AU - Sokal, Alan D.

    PY - 1998/9

    Y1 - 1998/9

    N2 - 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.

    AB - 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.

    KW - Antiferromagnetic Potts model

    KW - Cluster algorithm

    KW - Critical exponent

    KW - Critical ground state

    KW - Height representation

    KW - Monte Carlo

    KW - Wang-Swendsen-Kotecký algorithm

    UR - http://www.scopus.com/inward/record.url?scp=0039758227&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0039758227&partnerID=8YFLogxK

    M3 - Article

    VL - 92

    SP - 729

    EP - 764

    JO - Journal of Statistical Physics

    JF - Journal of Statistical Physics

    SN - 0022-4715

    IS - 5-6

    ER -