On Limiting Gibbs States of the Two-Dimensional Ising Models

Abstract

We consider limiting Gibbs states in the two-dimensional ferromagnetic Ising model at sufficiently low temperatures. We prove that every limiting Gibbs state corresponding to a boundary condition such that AT/JV~ 3/5, there exists a boundary condition such that 3/5 <CAf/W~<$ on every boundary, and the limiting Gibbs state corresponding to this boundary condition