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.

arXiv comment4 pages, 4 figures; the final version appearing in PRL

References in corpus (15)

• Spintronics: Fundamentals and applications
• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Intrinsic Spin Hall Effect in the Two Dimensional Hole Gas
• Spin-Hall Effect in Two-Dimensional Electron Systems with Rashba Spin-Orbit Coupling and Disorder
• Manifestation of the spin-Hall effect through transport measurements in the mesoscopic regime
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Conductance fluctuations at the integer quantum Hall plateau transition
• Non-vanishing spin Hall currents in disordered spin-orbit coupling systems
• Universal scaling, beta function, and metal-insulator transitions

Cited by in corpus (12)

• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Non-Commutative Tools for Topological Insulators
• Spin Hall Effect
• Spin Hall Effect and Spin Transfer in Disordered Rashba Model
• Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field
• 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
• Long range scattering effects on spin Hall current in $p$-type bulk semiconductors
• Spin Hall conductivity of interacting two-dimensional electron systems