Weak localization correction to the anomalous Hall effect in polycrystalline Fe films

Details Weak localization correction to the anomalous Hall effect in polycrystalline Fe films Weak localization correction to the anomalous Hall effect in polycrystalline Fe films

2006-06-08

arxiv.org/abs/cond-mat/0606215v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures; revised submission with additional data and more general interpretation

Scientific paper

10.1103/PhysRevLett.99.046804

In situ transport measurements have been made on ultrathin ($<$100 {\AA} thick) polycrystalline Fe films as a function of temperature and magnetic field for a wide range of disorder strengths. For sheet resistances $R_{xx}$ less than $\sim 3k\Omega$, we find a logarithmic temperature dependence of the anomalous Hall conductivity $\sigma_{xy}$ which is shown for the first time to be due to a universal scale dependent weak localization correction within the skew scattering model. For higher sheet resistance, granularity becomes important and the break down of universal behavior becomes manifest as the prefactors to $\sigma_{xx}$ and $\sigma_{xy}$ decrease at different rates with increasing disorder.

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