Extrinsic Spin Hall Effect due to Transition-Metal Impurities
Extrinsic Spin Hall Effect due to Transition-Metal Impurities
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过渡金属杂质引起的外在自旋霍尔效应
DOI:
10.1143/ptp.128.805
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发表时间:
2012
期刊:
影响因子:
--
通讯作者:
Hiroshi Kontani
中科院分区:
文献类型:
--
作者:
Takuro Tanaka;Hiroshi Kontani
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>µas is the case with the intrinsic spin Hall effect: skew scattering term σSHss∝ ≪l·s>µδ1σxx, and side jump term σSHsj∝ ≪l·s>µ, where δ1is the phase shift forp(l= 1) partial wave. Furthermore, the present study indicates the existence of a nontrivial close relationship between the intrinsic term σSHintand the extrinsic side jump term σSHsj.