Interface Motion in Disordered Ferromagnets

TL;DR

This paper investigates the depinning transition and creep behavior of interfaces in disordered ferromagnets using numerical simulations, identifying the upper critical dimension and analyzing scaling behaviors.

Contribution

It provides new insights into the dimensional dependence of the depinning transition and creep regime in the random-field Ising model, highlighting the role of logarithmic corrections at five dimensions.

Findings

d=5 is the upper critical dimension for depinning transition

Simple scaling in 3D and 4D models

Logarithmic corrections affect 5D scaling behavior

Abstract

We consider numerically the depinning transition in the random-field Ising model. Our analysis reveals that the three and four dimensional model displays a simple scaling behavior whereas the five dimensional scaling behavior is affected by logarithmic corrections. This suggests that d=5 is the upper critical dimension of the depinning transition in the random-field Ising model. Furthermore, we investigate the so-called creep regime (small driving fields and temperatures) where the interface velocity is given by an Arrhenius law.