Rotationally symmetric ordered phase in the three-state antiferromagnetic Potts model

Ralf K. Heilmann, Jian-Sheng Wang, and Robert H. Swendsen,
Phys. Rev. B 53, 2210 (1996)


We investigate the three-state antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at Tc1. We find both the well established broken-sublattice-symmetry (BSS) phase at low temperature and a new, rotationally symmetric phase at higher temperature, but below Tc1. The properties of the second phase and the transition temperature to the BSS phase are in disagreement with recent cluster-variation and Monte Carlo simulation results, but in agreement with simulations by Kolesik and Suzuki.

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