Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry
curvature in Bloch bands has been introduced. The theory operates only with gauge …

accepted December 27, 2005; published March 27, 2006) Recent developments on the
studies of the anomalous Hall effect are reviewed from the quantum geometrical viewpoint …

We describe the charge transport in ferromagnets with spin-orbit coupled Bloch bands by
combining the wave-packet evolution equations with the classical Bolzmann equation. This …

The anomalous Hall effect (AHE) occurs in solids with broken time-reversal symmetry,
typically in a ferromagnetic phase, as a consequence of spin-orbit coupling. Experimental …

While the intrinsic anomalous Hall conductivity is normally written in terms of an integral of
the electronic Berry curvature over the occupied portions of the Brillouin zone, Haldane has …

Electrons moving in a Bloch band are known to acquire an anomalous Hall velocity
proportional to the Berry curvature of the band which is responsible for the intrinsic linear …

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional
crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied …

The intrinsic anomalous Hall conductivity in ferromagnets depends on subtle spin-orbit-
induced effects in the electronic structure, and recent ab initio studies found that it was …

In recent years, it has been shown that Berry curvature monopoles and dipoles play
essential roles in the anomalous Hall and the nonlinear Hall effects, respectively. In this …

A model to treat the anomalous Hall effect is developed. Based on the Kubo formalism and
on the Dirac equation, this model allows the simultaneous calculation of the skew-scattering …