Spin Hall effect of a conserved current: Conditions for a nonzero spin Hall current

被引:65
作者
Sugimoto, N [1 ]
Onoda, S
Murakami, S
Nagaosa, N
机构
[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan
[2] Univ Tokyo, Japan Sci & Technol Agcy, Spin Superstruct Project, ERATO,Dept Appl Phys,Bunkyo Ku, Tokyo 1138656, Japan
[3] AIST, CERC, Tsukuba, Ibaraki 3058562, Japan
[4] CREST, JST, Kawaguchi, Saitama 3320012, Japan
关键词
D O I
10.1103/PhysRevB.73.113305
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the spin Hall effect taking into account the impurity scattering effect as general as possible with the focus on the definition of the spin current. The conserved bulk spin current (Zhang , cond-mat/0503505) satisfying the continuity equation of spin is considered in addition to the conventional one defined by the symmetric product of the spin and velocity operators. Conditions for nonzero spin Hall current are clarified. In particular, it is found that (i) the spin Hall current is nonzero in the Rashba model with a finite-range impurity potential, and (ii) the spin Hall current vanishes in the cubic Rashba model with a delta-function impurity potential.
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页数:4
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