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First-order transitions for very nonlinear sigma models

A. C. D. van Enter, S. B. Shlosman

cond-mat.stat-mecharXiv:cond-mat/0506730

Abstract

In this contribution we discuss the occurrence of first-order transitions in temperature in various short-range lattice models with a rotation symmetry. Such transitions turn out to be widespread under the condition that the interaction potentials are sufficiently nonlinear.

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