Spin Hall effect, Hall effect and spin precession in diffusive normal metals

Abstract

We study transport in normal metals in an external magnetic field. This system exhibits an interplay between a transverse spin imbalance (spin Hall effect) caused by the spin-orbit interaction, a Hall effect via the Lorentz force, and spin precession due to the Zeeman effect. Diffusion equations for spin and charge flow are derived. The spin and charge accumulations are computed numerically in experimentally relevant thin film geometries. The out-of-plane spin Hall potential is suppressed when the Larmor frequency is larger than the spin-flip scattering rate. The in-plane spin Hall potential vanishes at zero magnetic field and attains its maximum at a finite magnetic field before spin precession starts to dominate. Spin-injection via ferromagnetic contacts creates a transverse charge Hall effect that decays in a finite magnetic field due to spin precession.

4 pages, 2 figures

References in corpus (11)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Finite-element theory of transport in ferromagnet-normal metal systems
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Semiclassical theory of spin transport in spin-orbit coupled systems
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Spin diffusion at finite electric and magnetic fields
• Spin Hall effects in diffusive normal metals
• Quasiclassical theory of charge transport in disordered interacting electron systems

Cited by in corpus (6)

• Direct electronic measurement of the spin Hall effect
• Room Temperature Reversible Spin Hall Effect
• Current induced torques and interfacial spin-orbit coupling: Semiclassical Modeling
• Spin Hall and spin swapping torques in diffusive ferromagnets
• Spin-Hall effect and spin-Coulomb drag in doped semiconductors
• Non-equilibrium Spin-Hall Effect in Aluminum and Tungsten