Barkhausen noise from zigzag domain walls

TL;DR

This paper models Barkhausen noise in ferromagnetic thin films with zigzag domain walls using a cellular automaton, revealing power-law behaviors consistent with experimental observations.

Contribution

It introduces a cellular automaton model capturing the dynamics of zigzag domain walls, incorporating dipolar interactions and anisotropy energy, aligning with experimental critical exponents.

Findings

Power-law distributions for avalanche size, duration, and correlation length.

Critical exponents match experimental data.

Power-law relation between avalanche size and duration.

Abstract

We investigate the Barkhausen noise in ferromagnetic thin films with zigzag domain walls. We use a cellular automaton model that describes the motion of a zigzag domain wall in an impure ferromagnetic quasi-two dimensional sample with in-plane uniaxial magnetization at zero temperature, driven by an external magnetic field. The main ingredients of this model are the dipolar spin-spin interactions and the anisotropy energy. A power law behavior with a cutoff is found for the probability distributions of size, duration and correlation length of the Barkhausen avalanches, and the critical exponents are in agreement with the available experiments. The link between the size and the duration of the avalanches is analyzed too, and a power law behavior is found for the average size of an avalanche as a function of its duration.