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

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

1999-07-26

arxiv.org/abs/cond-mat/9907388v1

Phys. Rev. B 61, 3430 (2000).

Physics

Condensed Matter

Statistical Mechanics

5 pages in REVTEX, 2 PostScript figures

Scientific paper

10.1103/PhysRevB.61.3430

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.

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