Spin Hall effects in diffusive normal metals

Abstract

We consider spin and charge flow in normal metals. We employ the Keldysh formalism to find transport equations in the presence of spin-orbit interaction, interaction with magnetic impurities, and non-magnetic impurity scattering. Using the quasiclassical approximation, we derive diffusion equations which include contributions from skew scattering, side-jump scattering and the anomalous spin-orbit induced velocity. We compute the magnitude of various spin Hall effects in experimental relevant geometries and discuss when the different scattering mechanisms are important.

10 pages, 4 figures

References in corpus (17)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Anomalous Hall effect in ferromagnetic semiconductors
• Finite-element theory of transport in ferromagnet-normal metal systems
• Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Spin-transport in multi-terminal normal metal - ferromagnet systems with non-collinear magnetizations
• Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas
• Semiclassical theory of spin transport in spin-orbit coupled systems
• Spin Hall effect and Berry phase in two dimensional electron gas
• Anomalous Hall effect in paramagnetic two dimensional systems
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Dissipation effects in spin-Hall transport of electrons and holes
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Electronic thermal conductivity of disordered metals
• Quasiclassical theory of charge transport in disordered interacting electron systems

Cited by in corpus (24)

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• Direct electronic measurement of the spin Hall effect
• Room Temperature Reversible Spin Hall Effect
• Intrinsic spin Hall effect in platinum metal
• Sign Changes of Intrinsic Spin Hall Effect in Semiconductors and Simple Metals: First-Principles Calculations
• 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 in Doped Semiconductor Structures
• Intrinsic Spin Hall Edges
• Spin Hall Effect
• Nonlocal Electronic Spin Detection, Spin Accumulation and the Spin Hall effect
• Spin Swapping Transport and Torques in Ultrathin Magnetic Bilayers
• Spin Hall and spin swapping torques in diffusive ferromagnets
• Detection of current-induced spins by ferromagnetic contacts
• Spin diffusion and torques in disordered antiferromagnets
• Spin-Orbit-Induced Spin, Charge, and Energy Transport in Diffusive Superconductors
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Spin Hall effect, Hall effect and spin precession in diffusive normal metals
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects
• Semi-realistic tight-binding model for spin-orbit torques
• Inverse Spin Hall Effect Induced by Asymmetric Illumination of Light on Topological Insulator Bi${}_2$Se${}_3$
• Nanomechanical detection of the spin Hall effect
• Anomalous enhancement of spin Hall conductivity in superconductor/normal metal junction
• Steady-state spin densities and currents
• Newton's second law in spin-orbit torque