Antiferromagnetic Potts model on the Erdős-Rényi random graph

P. Contucci, S. Dommers, C. Giardinà, S. Starr

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)

Abstract

We study the antiferromagnetic Potts model on the Poissonian Erdos-Rényi random graph. By identifying a suitable interpolation structure and an extended variational principle, together with a positive temperature second-moment analysis we prove the existence of a phase transition at a positive critical temperature. Upper and lower bounds on the temperature critical value are obtained from the stability analysis of the replica symmetric solution (recovered in the framework of Derrida-Ruelle probability cascades) and from an entropy positivity argument.
Original languageEnglish
Pages (from-to)517-554
JournalCommunications in Mathematical Physics
Volume323
Issue number2
DOIs
Publication statusPublished - 2013

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