On the uniqueness of Gibbs states in the Pirogov-Sinai theory
J. L. Lebowitz, A. E. Mazel
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.
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