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We study the dynamics of head-to-head domain walls separating in-planedomains in a disordered ferromagnetic thin film. The competition between thedomain wall surface tension and dipolar interactions induces a crossoverbetween a rough domain wall phase at short length-scales and a large-scalephase where the walls display a zigzag morphology. The two phases arecharacterized by different critical exponents for Barkhausen avalanche dynamicsthat are in quantitative agreement with experimental measurements on MnAs thinfilms.

Universality classes and crossover scaling of Barkhausen noise in thin films