Wang-Landau study of the critical behaviour of the bimodal 3D-Random Field Ising Model

TL;DR

This study uses the Wang-Landau method to analyze the critical behavior of the 3D Random Field Ising Model with bimodal disorder, revealing a transition from first-order to continuous as the field intensity varies.

Contribution

It applies the Wang-Landau sampling technique to the 3D RFIM with bimodal distribution, providing new insights into the nature of phase transitions in this model.

Findings

High field intensity induces a first-order transition with double-peaked energy distribution.

Low field intensity results in a continuous transition.

Double peaks persist despite large sample fluctuations at high fields.

Abstract

We apply the Wang-Landau method to the study of the critical behaviour of the three dimensional Random Field Ising Model with a bimodal probability distribution. Our results show that for high values of the random field intensity the transition is first order, characterized by a double-peaked energy probability distribution at the transition temperature. On the other hand, the transition looks continuous for low values of the field intensity. In spite of the large sample to sample fluctuations observed, the double peak in the probability distribution is always present for high fields