Chirality induced anomalous-Hall effect in helical spin crystals

Anomalous Hall response in two-dimensional topological insulators due to the Stark effect

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two-dimensional topological insulators. In the case of the quantum anomalous Hall effect the induced transverse currents acquire an extra term, being proportional to the Hall conductance and the time derivative of the applied electric field. In the case of the quantum spin ...

Spin chirality induced skew scattering and anomalous Hall effect in chiral magnets

Noncoplanar magnetic orders in magnetic metals give rise to an anomalous Hall effect of unconventional origin, which, by the spin Berry phase effect, is known as the topological Hall effect. This effect is pronounced in the low-temperature limit, where the fluctuation of spins is suppressed. In contrast, we here discuss that the fluctuating but locally correlated spins close to the phase bounda...

Anomalous Hall Effect due to the spin chirality in the Kagomé lattice

Hall effect of spin waves in frustrated magnets.

We examine a possible spin Hall effect for localized spin systems with no charge degrees of freedom. In this scenario, a longitudinal magnetic field gradient induces a transverse spin current carried by spin wave excitations with an anomalous velocity which is caused by a topological Berry-phase effect associated with spin chirality, in analogy with anomalous Hall effects in itinerant electron ...

Quantum anomalous Hall effect in single-layer and bilayer graphene

The quantum anomalous Hall effect can occur in singleand few-layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated bilayer graphene systems with Rashba spin-orbit coupling. We compute Berry curvatures at each valley point and find that for single-layer graphene the Hall cond...