Anomalous Hall effect in granular ferromagnetic metals and effects of weak localization

Abstract

We theoretically investigate the anomalous Hall effect in a system of dense-packed ferromagnetic grains in the metallic regime. Using the formalism recently developed for the conventional Hall effect in granular metals, we calculate the residual anomalous Hall conductivity ${\sigma }_{xy}$ and resistivity ${\rho }_{xy}$ and weak localization corrections to them for both skew-scattering and side-jump mechanisms. We find that, unlike for homogeneously disordered metals, the scaling relation between ${\rho }_{xy}$ and the longitudinal resistivity ${\rho }_{xx}$ does not hold. The weak localization corrections, however, are found to be in agreement with those for homogeneous metals. We discuss recent experimental data on the anomalous Hall effect in polycrystalline iron films in view of the obtained results.

published version, 10 pages, 6 figures

References in corpus (7)

• Granular Electronic Systems
• Semiclassical theories of the anomalous Hall effect
• Weak localization correction to the anomalous Hall effect in polycrystalline Fe films
• Anomalous Hall effect in Fe/Cu bilayers
• Disorder and temperature dependence of the Anomalous Hall Effect in thin ferromagnetic films: Microscopic model
• Hall resistivity of granular metals
• Hall Transport in Granular Metals and Effects of Coulomb Interactions

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