PT - JOURNAL ARTICLE
AU - Ishizuka, Hiroaki
AU - Nagaosa, Naoto
TI - Spin chirality induced skew scattering and anomalous Hall effect in chiral magnets
AID - 10.1126/sciadv.aap9962
DP - 2018 Feb 01
TA - Science Advances
PG - eaap9962
VI - 4
IP - 2
4099 - http://advances.sciencemag.org/content/4/2/eaap9962.short
4100 - http://advances.sciencemag.org/content/4/2/eaap9962.full
SO - Sci Adv2018 Feb 01; 4
AB - 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 boundary give rise to another anomalous Hall effect, that with the opposite sign to the topological Hall effect. Using the Born approximation, we show that the anomalous Hall effect is attributed to the skew scattering induced by the local correlation of spins. The relation of the scalar spin chirality to the skew scattering amplitude is given, and the explicit formula for the Hall conductivity is derived using a semiclassical Boltzmann transport theory. Our theory potentially accounts for the sign change of the anomalous Hall effect observed in chiral magnets in the vicinity of the phase boundary.