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arXiv · 1106.5907

First-order transition in Potts models with "invisible' states: Rigorous proofs

Aernout C. D. van Enter·Giulio Iacobelli·Siamak Taati
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Abstract

In some recent papers by Tamura, Tanaka and Kawashima [arXiv:1102.5475, arXiv:1012.4254], a class of Potts models with "invisible" states was introduced, for which the authors argued by numerical arguments and by a mean-field analysis that a first-order transition occurs. Here we show that the existence of this first-order transition can be proven rigorously, by relatively minor adaptations of existing proofs for ordinary Potts models. In our argument we present a random-cluster representation for the model, which might be of independent interest.

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BibTeXRIS

Aernout C. D. van Enter, Giulio Iacobelli, Siamak Taati. 2011-07-05. First-order transition in Potts models with "invisible' states: Rigorous proofs. https://doi.org/10.1143/ptp.126.983

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