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

Kavli Affiliate: Ralf K. Heilmann

| First 5 Authors: Ralf K. Heilmann, Jian-Sheng Wang, Robert H. Swendsen, ,

| Summary:

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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