The contribution of spin torque to the spin Hall coefficient and spin motive force in a spin–orbit coupling system
The contribution of spin torque to the spin Hall coefficient and spin motive force in a spin–orbit coupling system
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DOI:
10.1088/0953-8984/19/49/496220
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发表时间:
2007-12
期刊:
影响因子:
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通讯作者:
Yong-ping Fu;Dong Wang;F. Huang;Y. D. Li;W. M. Liu
中科院分区:
文献类型:
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作者:
Yong-ping Fu;Dong Wang;F. Huang;Y. D. Li;W. M. Liu
We derive rigorously the relativistic angular momentum conservation equation by means of quantum electrodynamics. The novel nonrelativistic spin current and torque in the spin–orbit coupling system, up to the order of 1/c4, are exactly investigated using Foldy–Wouthuysen transformations. We find a perfect spin Hall coefficient including the contribution of the spin torque dipole. A novel spin motive force, analogous to the Lorentz force, is also obtained to help us understand the spin Hall effect.