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

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

1997-03-09

arxiv.org/abs/cond-mat/9703084v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, Plain TeX, to appear in Communications in Mathematical Physics

Scientific paper

10.1007/s002200050204

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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