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

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.

8 pages, RevTeX + 3 figures in a PostScript file

References in corpus (2)

• Three-State Anti-ferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes
• CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

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• Ordered phase and phase transitions in the three-dimensional generalized six-state clock model
• Monte Carlo study of the critical properties of the three-dimensional 120-degree model
• Mean-Field Analysis of Antiferromagnetic Three-State Potts Model with Next Nearest Neighbor Interaction