Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals

Abstract

Scattering by multiple scatterers sometimes gives rise to nontrivial consequences such as anomalous Hall effect. We here study a mechanism for anomalous Hall effect which originates from the correlation of nonmagnetic impurities and localized moments; a Hall effect induced by vector spin chirality. Using a scattering theory approach, we study the skew scattering induced by the scattering processes that involve two magnetic moments and a non-magnetic impurity, which is proportional to the vector spin chirality of the spins in the vicinity of the non-magnetic impurity. Furthermore, we show that a finite vector spin chirality naturally exists around an impurity in the usual ferromagnetic metals at finite temperature due to the local inversion-symmetry breaking by the impurity. The result is potentially relevant to magnetic oxides which the anomalous Hall effect is enhanced at finite temperatures.

15 pages, 3 figures

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• Theory of giant skew scattering by spin cluster
• Rectification of Spin Current in Inversion-Asymmetric Magnets with Linearly-Polarized Electromagnetic Waves
• Theory of Magnetic-Texture-Induced Anomalous Hall Effect on the Surface of Topological Insulators
• Theory of an electron asymmetric scattering on skyrmion textures in two-dimensional systems
• Topological spin Hall effect in antiferromagnets driven by vector Néel chirality
• Local spin ice order induced planar Hall effect in Nd-Sn artificial honeycomb lattice