Ferrimagnetism and compensation temperature in spin-$1/2$ Ising trilayers

TL;DR

This study investigates ferrimagnetism and compensation temperatures in a layered spin-1/2 Ising model using mean-field and effective-field methods, revealing phase diagrams and parameter influences on magnetic behavior.

Contribution

It introduces a detailed analysis of ferrimagnetic trilayers with mixed ferromagnetic and antiferromagnetic bonds, highlighting the conditions for compensation phenomena.

Findings

Identification of compensation temperatures as functions of Hamiltonian parameters

Phase diagrams showing regions with and without compensation phenomena

Influence of bond types on magnetic and thermodynamic properties

Abstract

The mean-field and effective-field approximations are applied in the study of magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and \textbf{B-B} bonds are ferromagnetic while the \textbf{A-B} bonds are antiferromagnetic. The occurrence of a compensation phenomenon is verified and the compensation and critical temperatures are obtained as functions of the Hamiltonian parameters. We present phase diagrams dividing the parameter space in regions where the compensation phenomenon is present or absent and a detailed discussion about the influence of each parameter on the overall behavior of the system is made.