Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

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 …

Inversion symmetry breaking allows contrasted circular dichroism in different k-space
regions, which takes the extreme form of optical selection rules for interband transitions at …

The body of research on (III, Mn) V diluted magnetic semiconductors (DMSs) initiated during
the 1990s has concentrated on three major fronts:(i) the microscopic origins and …

A unified theory of the anomalous Hall effect (AHE) is presented for multiband ferromagnetic
metals with dilute impurities. In the clean limit, the AHE is mostly due to extrinsic skew …

Rectification is a process that converts electromagnetic fields into a direct current. Such a
process underlies a wide range of technologies such as wireless communication, wireless …

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 …

The valley Hall effect arises from valley-contrasting Berry curvature and requires inversion
symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall …

The appearance of a Hall conductance necessarily requires breaking of time‐reversal
symmetry, either by an external magnetic field or by the internal magnetization of a material …

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic
metal and related primarily to density-matrix response to an electric field that is off-diagonal …