Antiferromagnetic Potts models on the square lattice

Sabino José Ferreira and Alan D. Sokal
Phys. Rev. B 51, 6727 – Published 1 March 1995
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Abstract

We study the antiferromagnetic q-state Potts model on the square lattice for q=3 and 4, using the Wang-Swendsen-Kotecký Monte Carlo algorithm and a finite-size-scaling extrapolation method. For q=3, we obtain good control up to correlation length ξ∼5000; the data are consistent with ξ(β)=Ae2ββ(1+a1eβ+...) as β→∞. For q=4, the model is disordered even at zero temperature.

  • Received 14 November 1994

DOI:https://doi.org/10.1103/PhysRevB.51.6727

©1995 American Physical Society

Authors & Affiliations

Sabino José Ferreira

  • Departamento de Física-ICEx, Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30161 Brazil

Alan D. Sokal

  • Department of Physics, New York University, 4 Washington Place, New York, New York 10003

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Vol. 51, Iss. 10 — 1 March 1995

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