Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field
Obid Sh. KarshiboevChirchik State Pedagogical Institute of Tashkent Region, Chirchik, Uzbekistan
ABI
Abstract
We consider a three-state solid-on-solid (SOS) model on a Cayley tree in the presence of an external field. We show that periodic Gibbs measures are either translation invariant or periodic with period two. We describe two-periodic Gibbs measures of the model.