The movement of a micron-size section of an individual domain wall in a uniaxial garnet film was studied using ballistic Hall micromagnetometry. The wall propagated in characteristic Barkhausen jumps, with the distribution in jump size $S$, following the power-law relation, $D\left(S\right)\propto S^{-\tau }$. In addition to reporting on the suitability of employing this alternative technique, we discuss the measurements taken of the scaling exponent $\tau$, for a single domain wall in a two-dimensional sample with magnetization perpendicular to the surface, and low pinning center concentration. This exponent was found to be $1.14\pm 0.05$ at both liquid helium and liquid nitrogen temperatures.

• Received 11 October 2005

DOI:https://doi.org/10.1103/PhysRevB.74.064403