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math-ph2011★ 7 cited
Potts model with invisible colours: Random-cluster representation and Pirogov-Sinai analysis
Aernout C. D. van Enter, Giulio Iacobelli, Siamak Taati
We study a variant of the ferromagnetic Potts model, recently introduced by Tamura, Tanaka and Kawashima, consisting of a ferromagnetic interaction among "visible" colours alon…
cond-mat.stat-mech2011★ 9 cited
First-order transition in Potts models with "invisible' states: Rigorous proofs
Aernout C. D. van Enter, Giulio Iacobelli, Siamak Taati
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 argu…