Mixed spin-1/2 and spin-1 Ising model with uniaxial and biaxial single-ion anisotropy on Bethe lattice

TL;DR

This paper provides an exact solution for a mixed spin-1/2 and spin-1 Ising model on the Bethe lattice, analyzing how uniaxial and biaxial anisotropies affect magnetic properties and phase behavior.

Contribution

It introduces an exact analytical approach combining star-triangle and triangle-star transformations to study the model with anisotropies.

Findings

Magnetization and phase diagrams are characterized in detail.

Uniaxial and biaxial anisotropies significantly influence magnetic behavior.

The model exhibits compensation phenomena under certain conditions.

Abstract

The mixed spin-1/2 and spin-1 Ising model on the Bethe lattice with both uniaxial as well as biaxial single-ion anisotropy terms is exactly solved by combining star-triangle and triangle-star mapping transformations with exact recursion relations. Magnetic properties (magnetization, phase diagrams and compensation phenomenon) are investigated in detail. The particular attention is focused on the effect of uniaxial and biaxial single-ion anisotropies that basically influence the magnetic behavior of the spin-1 atoms.