Description of Weak Periodic Ground States of Ising Model with Competing Interactions on Cayley Tree

Abstract

Recently by Rozikov an Ising model with competing interactions and spin values $\pm 1$, on a Cayley tree of order $k\ge 1$ has been considered and the ground states of the model are described. In this paper we describe some weak periodic ground states of the model.

11 pages

References in corpus (1)

• On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding Von Neumann Algebras II