Potts models in random fields

Daniel Blankschtein*, Yonathan Shapir, Amnon Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


The q-state Potts model is studied in the presence of random fields, which locally prefer ordering of any one of the q states. In d dimensions, the transition is expected to become first-order for q>qc(d). As in the nonrandom case, mean-field theory still yields qc(d)=2 for all d. Fluctuations are argued to shift the nonrandom value, qc0(d), into a significantly higher value, qc(d). For qc0(d)<q<qc(d) we thus expect random fields to turn the discontinuous transitions into continuous ones. At d=3 this probably includes the experimentally realizable cases q=3 and 4.

Original languageEnglish
Pages (from-to)1263-1267
Number of pages5
JournalPhysical Review B-Condensed Matter
Issue number3
StatePublished - 1984


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