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

Ralf K. Heilmann·Jian-Sheng Wang·Robert H. Swendsen
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Abstract

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 T_{c1}. 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 T_{c1}. 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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Ralf K. Heilmann, Jian-Sheng Wang, Robert H. Swendsen. 1995-09-22. Rotationally symmetric ordered phase in the three-state antiferromagnetic Potts model. https://doi.org/10.1103/physrevb.53.2210

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