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

A. C. D. van Enter·S. B. Shlosman
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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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A. C. D. van Enter, S. B. Shlosman. 2002-05-22. First-order transitions for n-vector models in two and more dimensions; rigorous proof. https://doi.org/10.1103/physrevlett.89.285702

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