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

Science Advances
Hiroaki Ishizuka, Naoto Nagaosa

Abstract

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.

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Citations

May 27, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Konstantin Denisov
Sep 15, 2020·Science Advances·Durga KhadkaS X Huang
Jun 14, 2020·Nature Communications·Hiroaki Ishizuka, Naoto Nagaosa
Jan 23, 2021·Physical Review Letters·Sangwoo SimJe-Geun Park
Jan 31, 2021·Nature Communications·Pan HeHyunsoo Yang
Aug 15, 2021·Proceedings of the National Academy of Sciences of the United States of America·Kamil K KolincioYoshinori Tokura

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