On the Unicity of Discontinuous Transitions in the Two-Dimensional Potts and Ashkin–Teller Models

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We investigate the uniqueness of the discontinuous phase transition of the q-state Potts model and the symmetric q = (s × s) cubic model (generalized Ashkin–Teller model) on the integer square lattice with q ≥ 1. For the ferromagnetic cases, when there is a discontinuous phase transition we show that the discontinuity can only occur at a point of self-duality.

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