Anomalous Hall Effect and Spin Hall Effect in Transition Metals

Abstract

In metals, various kinds of Hall effects emerge, in addition to normal Hall effect under magnetic field. One example is the anomalous Hall effect in ferromagnets, and another example is the spin Hall effect in paramagnetic metals. These unconventional Hall effects without magnetic field have been attracting increasing attention, in terms of both fundamental interest and spintronics architecture. In this review article, we discuss the recent progress in intrinsic Hall effect that is essentially independent of randomness or impurities. We explain that the origin of commonly-observed giant intrinsic Hall effect in transition metals is the Berry phase induced by the d-orbital degrees of freedom.