Three-state Potts model and anomalous tricritical points

J. P. Straley, M. E. Fisher

Research output: Contribution to journalArticlepeer-review

200 Scopus citations

Abstract

Thirteen terms are presented of the low-temperature series for the free energy of the three-state Potts model in arbitrary external fields. Extrapolation of the series for specific heat, order parameter, and susceptibilities indicates that the transition in zero field is continuous (in contrast to the Landau prediction) with exponents alpha = alpha '=0.05+or-0.10, beta =0.10+or-0.01, gamma ' approximately=1.5+or-0.2 and gamma ' perpendicular to=1.1+or-0.1. These conclusions suggest the presence of an 'anomalous' tricritical point in the model; the associated phase diagram is discussed and contrasted with phenomenological predictions.

Original languageEnglish
Article number007
Pages (from-to)1310-1326
Number of pages17
JournalJournal of Physics A: General Physics
Volume6
Issue number9
DOIs
StatePublished - 1973

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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