A manifold of pure Gibbs states of the Ising model on a Cayley tree

TL;DR

This paper investigates the Ising model on a Cayley tree and introduces a broad class of new Gibbs states, expanding understanding of phase structures in such models.

Contribution

It presents a novel class of Gibbs states for the Ising model on a Cayley tree, revealing new phase behaviors.

Findings

Discovery of a wide class of new Gibbs states

Enhanced understanding of phase structures on Cayley trees

Potential implications for statistical mechanics models

Abstract

We study the Ising model on a Cayley tree. A wide class of new Gibbs states is exhibited.