We study the dynamics of head-to-head domain walls separating in-plane domains in a disordered ferromagnetic thin film. The competition between the domain wall surface tension and dipolar interactions induces a crossover between a rough domain wall phase at short length-scales and a large-scale phase where the walls display a zigzag morphology. The two phases are characterized by different critical exponents for Barkhausen avalanche dynamics that are in quantitative agreement with experimental measurements on MnAs thin films.
@article{arxiv.1306.5990,
title = {Universality classes and crossover scaling of Barkhausen noise in thin films},
author = {Lasse Laurson and Gianfranco Durin and Stefano Zapperi},
journal= {arXiv preprint arXiv:1306.5990},
year = {2015}
}