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

Jésus Salas; Alan D. Sokal

doi:10.1023/a:1023002322985

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

Jésus Salas, Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	729-753
Number of pages	25
Journal	Journal of Statistical Physics
Volume	92
Issue number	5-6
DOIs	https://doi.org/10.1023/a:1023002322985
State	Published - Sep 1998

Keywords

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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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.",

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year = "1998",

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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

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JO - Journal of Statistical Physics

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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