Phases of the three-state Potts model in three spatial dimensions

1993/05/09 by Shigemi Ohta, Ohta, Shigemi
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum chaos and dynamical systems #Quantum many-body systems #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9305010

6 pages including 5 epsf figures, latex file, RIKEN-AF-NP-154

arxiv created 1993/05/09 · openalex publication_date 1993/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128³\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered phases. In both phases clusters of like spins are observed with irregular boundaries. In the ordered phase the two different non-favored spins are found to attract each other with a long but finite range. As a result, the neighborhoods of the non-favored spins are interpreted as domains of the disordered phase. This explains why the first-order phase transitions associated with the global \(Z₃\) symmetry, including the SU(3) pure-gauge one, are so weak.

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