Extraordinary Hall effect in magnetic multilayers

Abstract

The extraordinary Hall resistivity of magnetic multilayers is derived by using the Kubo formalism. It is found that the commonly used scaling relation between the extraordinary Hall resistivity and the ordinary resistivity is not valid. Hall voltages in the plane of the layers and perpendicular to the plane of the layers are quite different, just as the ordinary resistivities are different for these two geometries. Recent experimental results are discussed within this formulation.