A scaling relation of anomalous Hall effect in ferromagnetic semiconductors and metals

Abstract

A scaling relation of the anomalous Hall effect recently found in a ferromagnetic semiconductor (Ti,Co)O2 is compared with those of various ferromagnetic semiconductors and metals. Many of these compounds with relatively low conductivity sigmaxx < 104 ohm-1 cm-1 are also found to exhibit similar relation: anomalous Hall conductivity sigmaAH approximately scales as sigmaAH proportional to sigmaxx1.6, that is coincident with a recent theory. This relation is valid over five decades of sigmaxx irrespective of metallic or hopping conduction.

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