On the uniqueness of Gibbs states in the Pirogov-Sinai theory

Abstract

We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the absence of any non-periodic Gibbs state. The approach to this infinite volume state is exponentially fast.

arXiv comment12 pages, Plain TeX, to appear in Communications in Mathematical Physics

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