Ordered phase and scaling in $Z_n$ models and the three-state antiferromagnetic Potts model in three dimensions

Abstract

Based on a Renormalization-Group picture of $Z_n$ symmetric models in three dimensions, we derive a scaling law for the $Z_n$ order parameter in the ordered phase. An existing Monte Carlo calculation on the three-state antiferromagnetic Potts model, which has the effective $Z_6$ symmetry, is shown to be consistent with the proposed scaling law. It strongly supports the Renormalization-Group picture that there is a single massive ordered phase, although an apparently rotationally symmetric region in the intermediate temperature was observed numerically.

5 pages in REVTEX, 2 PostScript figures

References in corpus (2)

• Rotationally symmetric ordered phase in the three-state antiferromagnetic Potts model
• CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

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