First-order transitions for n-vector models in two and more dimensions; rigorous proof

Abstract

We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result holds in dimension two or more, and is independent on the nature of the low-temperature phase.

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References in corpus (3)

• Phase transition in a 2-dimensional Heisenberg model
• 2D models of statistical physics with continuous symmetry: the case of singular interactions
• Two-Dimensional Heisenberg Model with Nonlinear Interactions

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