Effects of spin imbalance on the electric-field driven quantum dissipationless spin current in $p$-doped Semiconductors

Abstract

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.

8 pages, 2 figures, An extended version with detailed calculations To appear in Phys. Rev. B

References in corpus (11)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Basic obstacle for electrical spin-injection from a ferromagnetic metal into a diffusive semiconductor
• Dissipationless Quantum Spin Current at Room Temperature
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• Electrical detection of spin accumulation in a p-type GaAs quantum well
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Dissipation effects in spin-Hall transport of electrons and holes

Cited by in corpus (14)

• Spin Hall effects for cold atoms in a light induced gauge potential
• Spin-Hall effect in a disordered 2D electron-system
• Intrinsic Spin and Orbital-Angular-Momentum Hall Effect
• Coherent wave-packet evolution in coupled bands
• Spin Hall Effect
• Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry
• Kinetic magnetoelectric effect in a 2D semiconductor strip due to boundary-confinement induced spin-orbit coupling
• Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder
• Current-induced Spin Polarization in Two-Dimensional Hole Gas
• Electric generation of spin in crystals with reduced symmetry
• Geometrical phase effects on the Wigner distribution of Bloch electrons
• Spin Hall Conductance of the Two Dimensional Hole Gas in a Perpendicular Magnetic Field
• Some symmetry properties of spin currents and spin polarizations in multi-terminal mesoscopic spin-orbit coupled systems
• Local spin density in two-dimensional electron gas with hexagonal boundary