The Hall effect, in which a current flows perpendicular to an electrical bias, has been
prominent in the history of condensed matter physics. Appearing variously in classical …

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 …

Magnetism is one of the largest, most fundamental, and technologically most relevant fields
of condensed-matter physics. Traditionally, two basic magnetic phases have been …

We demonstrate the anomalous Hall effect (AHE) in single-layer graphene exchange
coupled to an atomically flat yttrium iron garnet (YIG) ferromagnetic thin film. The anomalous …

Nonlinear responses in transport measurements are linked to material properties not
accessible at linear order because they follow distinct symmetry requirements,,–. While 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 …

We describe a new effect in semiconductor spintronics that leads to dissipationless spin
currents in paramagnetic spin-orbit coupled systems. We argue that in a high-mobility two …

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a
spatially varying magnetization. This topological Hall effect does not require any spin-orbit …

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 …

Topological Weyl semimetals (WSMs) have been predicted to be excellent candidates for
detecting Berry curvature dipole (BCD) and the related nonlinear effects in electronics and …