Giant Extrinsic Spin Hall Effect due to Rare-Earth Impurities

Abstract

We investigate the extrinsic spin Hall effect in the electron gas model due to magnetic impurities, by focusing on Ce- and Yb-impurities. In the dilute limit, the skew scattering term dominates the side jump term. For Ce-impurities, the spin Hall angle ${\alpha }_{\mathrm{SH}}$ due to skew scattering is given by $-8\pi \sin {\delta }_2/7$, where ${\delta }_2(\ll 1)$ is the phase shift for$d(l=2)$ partial wave. Since ${\alpha }_{\mathrm{SH}}$ reaches $O(10^{-1})$ if $δ_2 \simge 0.03$, the spin Hall effect is anticipated to be considerable in metals with rare-earth impurities. The giant extrinsic SHE originates from the large orbital angular momentum, which is also significant for the intrinsic SHE.

5 pages, 3 figures, to be published in New Journal of Physics

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