First-order transitions for n-vector models in two and more dimensions; rigorous proof
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Probability
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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Cite
@article{arxiv.cond-mat/0205455,
title = {First-order transitions for n-vector models in two and more dimensions; rigorous proof},
author = {A. C. D. van Enter and S. B. Shlosman},
journal= {arXiv preprint arXiv:cond-mat/0205455},
year = {2009}
}
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