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

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

2002-05-22

arxiv.org/abs/cond-mat/0205455v1

Physics

Condensed Matter

Statistical Mechanics

latex

Scientific paper

10.1103/PhysRevLett.89.285702

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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