Ternary-Spin Ising Model on an Anisotropically Decorated Square Lattice: An Exactly Solvable Case

TL;DR

This paper presents an exact solution for a ternary-spin Ising model on a decorated square lattice, revealing six ground state phases and analyzing their magnetic properties and critical behavior.

Contribution

It introduces a generalized decoration-iteration transformation to exactly solve the ternary-spin Ising model on an anisotropically decorated lattice, identifying multiple ground state phases.

Findings

Six distinct ground state phases identified

Magnetic order and critical behavior analyzed

Magnetization curves characterized

Abstract

Magnetic properties of a ternary-spin Ising model on the decorated square lattice are studied within a generalized decoration-iteration transformation. Depending on the mutual ratio between exchange interactions and the single-ion anisotropy, there appear six different phases in the ground state. The magnetic order of these phases together with the critical behaviour and corresponding magnetization curves are discussed in detail.