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

Masaki Oshikawa
Phys. Rev. B 61, 3430 – Published 1 February 2000
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Abstract

Based on a renormalization-group picture of Zn symmetric models in three dimensions, we derive a scaling law for the Zn order parameter in the ordered phase. An existing Monte Carlo calculation on the three-state antiferromagnetic Potts model, which has the effective Z6 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.

  • Received 20 July 1999

DOI:https://doi.org/10.1103/PhysRevB.61.3430

©2000 American Physical Society

Authors & Affiliations

Masaki Oshikawa

  • Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan

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Vol. 61, Iss. 5 — 1 February 2000

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