First- and second-order transitions in the Potts model near four dimensions

Amnon Aharony*, E. Pytte

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

The continuum generalization of the p-state Potts model is analyzed in the ordered phase. Renormalization-group iterations in d=4- dimensions are followed by an elimination of the transverse modes and a mapping onto an effective Ising model. This model is then used to show that the transition is first order for p>pc(d) and continuous for p<pc(d). We find that pc(d)=2 for d>4 and pc(4-)=2+O(2).

Original languageEnglish
Pages (from-to)362-367
Number of pages6
JournalPhysical Review B-Condensed Matter
Volume23
Issue number1
DOIs
StatePublished - 1981

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