Numerical Study of the Spin Hall Conductance in the Luttinger Model

Abstract

We present first numerical studies of the disorder effect on the recently proposed intrinsic spin Hall conductance in a three dimensional (3D) lattice Luttinger model. The results show that the spin Hall conductance remains finite in a wide range of disorder strength, with large fluctuations. The disorder-configuration-averaged spin Hall conductance monotonically decreases with the increase of disorder strength and vanishes before the Anderson localization takes place. The finite-size effect is also discussed.

4 pages, 4 figures; the final version appearing in PRL

References in corpus (4)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Absence of vertex correction for the spin Hall effect in p-type semiconductors

Cited by in corpus (7)

• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Spin Hall Effect
• Spin-Hall effect in two-dimensional mesoscopic hole systems
• Extrinsic Entwined with Intrinsic Spin Hall Effect in Disordered Mesoscopic Bars
• Kinetic investigation on extrinsic spin Hall effect induced by skew scattering
• Spin Hall Conductance of the Two Dimensional Hole Gas in a Perpendicular Magnetic Field
• Spin Hall conductivity of interacting two-dimensional electron systems