Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-01-14
Phys. Rev. B 70, 235323 (2004)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 2 figures, An extended version with detailed calculations To appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.70.235323
It was proposed recently by Murakami et al. [Science \textbf{301}, 1348(2003)] that in a large class of $p$-doped semiconductors, an applied electric field can drive a quantum dissipationless spin current in the direction perpendicular to the electric field. In this paper we investigate the effects of spin imbalance on this intrinsic $spin$ Hall effect. We show that in a real sample with boundaries, due to the presence of spin imbalance near the edges of the sample, the spin Hall conductivity is not a constant but a sensitively $position$-$dependent$ quantity, and due to this fact, in order to take the effects of spin imbalance properly into account, a microscopic calculation of both the quantum dissipationless spin Hall current and the spin accumulation on an equal footing is thus required. Based on such a microscopic calculation, a detailed discussion of the effects of spin imbalance on the intrinsic spin Hall effect in thin slabs of $p$-doped semiconductors are presented.
Gao Ju
Hu Liangbin
Shen Shun-Qing
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