Semiclassical theory of spin transport in spin-orbit coupled systems

Details Semiclassical theory of spin transport in spin-orbit coupled systems Semiclassical theory of spin transport in spin-orbit coupled systems

2003-09-19

arxiv.org/abs/cond-mat/0309475v4

Phys. Rev. Lett. 93, 046602 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.93.046602

Motivated by recent interest in novel spintronics effects, we develop a semiclassical theory of spin transport that is valid for spin-orbit coupled bands. Aside from the obvious convective term in which the average spin is transported at the wavepacket group velocity, the spin current has additional contributions from the wavepacket's spin and torque dipole moments. Electric field corrections to the group velocity and carrier spin contribute to the convective term. Summing all terms we obtain an expression for the intrinsic spin-Hall conductivity of a hole-doped semiconductor, which agrees with the Kubo formula prediction for the same quantity. We discuss the calculation of spin accumulation, which illustrates the importance of the torque dipole near the boundary of the system.

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