Diluted 3d-Random Field Ising Model at zero temperature with metastable dynamics

TL;DR

This paper investigates how vacancy concentration affects the phase transition and hysteresis behavior in the three-dimensional Random Field Ising Model with metastable dynamics, providing a detailed phase diagram and critical exponents.

Contribution

It introduces a comprehensive analysis of vacancy effects on the RFIM, including phase diagram determination and critical exponent calculation at zero temperature.

Findings

Critical line separates continuous and discontinuous hysteresis loops.

Finite size scaling confirms critical exponents along the critical line.

High vacancy concentration causes curvature in the critical line.

Abstract

We study the influence of vacancy concentration on the behaviour of the three dimensional Random Field Ising model with metastable dynamics. We focus our analysis on the number of spanning avalanches which allows for a clean determination of the critical line where the hysteresis loops change from continuous to discontinuous. By a detailed finite size scaling analysis we determine the phase diagram and prove numerically the critical exponents along the whole critical line. Finally we discuss the origin of the curvature of the critical line at high vacancy concentration.