Extrinsic Spin Hall Effect Due to Transition-Metal Impurities
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概要
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We investigate the extrinsic spin Hall effect in the electron gas model due to transition-metal impurities based on the single-impurity Anderson model with orbital degrees of freedom. Both the skew scattering and side jump mechanisms are analyzed in a unified way, and the significant role of orbital degrees of freedom are clarified. The obtained spin Hall conductivities are in proportion to the spin-orbit polarization at the Fermi level <l・s>_μ as is the case with the intrinsic spin Hall effect: skew scattering term σ^<ss>_<SH> ∝<l・s>_μδ_1σ_<xx>, and side jump term σ^<sj>_<SH> ∝<l・s>_μ, where δ_1 is the phase shift for p (l = 1) partial wave. Furthermore, the present study indicates the existence of a nontrivial close relationship between the intrinsic term σ^<int>_<SH> and the extrinsic side jump term σ^<sj>_<SH>.
- 2012-11-25
著者
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Kotani Hiroshi
Department Of Mechanical Engineering Keio University
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TANAKA Takuro
Department of Physics, Nagoya University
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KOTANI Hiroshi
Department of Physics, Nagoya University
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- Extrinsic Spin Hall Effect Due to Transition-Metal Impurities
- Extrinsic Spin Hall Effect Due to Transition-Metal Impurities