Theory of giant skew scattering by spin cluster

Abstract

Skew scattering of electrons induced by a spin cluster is studied theoretically focusing on metals with localized magnetic moments. The scattering probability is calculated by a non-perturbative $T$ matrix method; this method is valid for arbitrary strength of electron-spin coupling. We show the scattering of electrons by a three-spin cluster produces a skew angle of order $0.1\pi$ rad when the electron-spin coupling is comparable to the bandwidth. This is one or two orders of magnitude larger than the usual skew angle by an impurity with spin-orbit interaction. Systematic analysis of the scattering probability of one-, two-, and three-spin clusters show that three spins are necessary for skew scattering. We also discuss the relation between anomalous/spin Hall effects and the spin chiralities; we find that the spin Hall effect requires three spins while it is related to the vector spin chirality defined by a pair of spins. The relevance of these results to the large extrinsic anomalous and spin Hall effects in noncentrosymmetric and/or frustrated magnets is also discussed.

11 pages, 6 figures

References in corpus (9)

• Dissipationless Quantum Spin Current at Room Temperature
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Enhanced spin Hall effect by resonant skew scattering in orbital-selective Kondo effect
• Quantum Anomalous Hall Effect in Kagome Ice
• Anomalous Hall Effect and Spin Fluctuations in Ionic Liquid Gated SrCoO${}_3$ Thin Films
• Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals
• Metallic glasses for spintronics: anomalous temperature dependence and giant enhancement of inverse spin Hall effect

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