Intrinsic Spin Hall Effect in the presence of Extrinsic Spin-Orbit Scattering

Details Intrinsic Spin Hall Effect in the presence of Extrinsic Spin-Orbit Scattering Intrinsic Spin Hall Effect in the presence of Extrinsic Spin-Orbit Scattering

2006-02-27

arxiv.org/abs/cond-mat/0602607v1

Phys. Rev. B 74, 245309 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.74.245309

Intrinsic and extrinsic spin Hall effects are considered together on an equal theoretical footing for the Rashba spin-orbit coupling in two-dimensional (2D) electron and hole systems, using the diagrammatic method for calculating the spin Hall conductivity. Our analytic theory for the 2D holes shows the expected lowest-order additive result for the spin Hall conductivity. But, the 2D electrons manifest a very surprising result, exhibiting a non-analyticity in the Rashba coupling strength $\alpha$ where the strictly extrinsic spin Hall conductivity (for $\alpha = 0$) cannot be recovered from the $\alpha \to 0$ limit of the combined theory. The theoretical results are discussed in the context of existing experimental results.

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