02-236 A.C.D. van Enter, S.B.Shlosman

First-order transitions for n-vector models in two and more dimensions; rigorous proof (20K, latex) May 23, 02

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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 natur of the low-temperature phas.

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