A simple Lattice Model for hysteresis loops with exchange bias

TL;DR

This paper introduces a simple lattice model based on the Random Field Ising model that reproduces hysteresis loops with exchange bias, enabling analysis of their properties as a function of various parameters.

Contribution

The paper presents a novel lattice model incorporating enhanced exchange constants to simulate exchange bias in hysteresis loops, allowing detailed parameter analysis.

Findings

Reproduces hysteresis loops with exchange bias

Analyzes dependence of loop properties on model parameters

Provides insights into first-order reversal curves

Abstract

A simple lattice model that allows hysteresis loops with exchange bias to be reproduced is presented. The model is based on the metastable Random Field Ising model, driven by an external field, with synchronous local relaxation dynamics. The key ingredient of the model is that a certain fraction $f$ of the exchange constants between neighbouring spins is enhanced to a very large value $J_E$. The model allows the dependence of several properties of the hysteresis loops to be analyzed as a function of different parameters and we have carried out an analysis of the first-order reversal curves.