Ordering in antiferromagnetic Potts models

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Abstract
Ordering in the antiferromagnetic Potts model on a simple cubic lattice with q=3 or 4 states per ion is investigated by Monte Carlo computer experiments. The results are analysed by forming the ion-pair correlation function, a technique permitting a more reliable identification of long-range order. In agreement with Banavar et al. (1982), we find a continuous phase transition to a two-sublattice ordered phase. The Monte Carlo results are used to test the mean-field approximation, which is found to yield qualitatively correct results for q=3 and 4, although exaggerating the ordering tendencies.

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