On boundary conditions for spin diffusion equations with Rashba spin-orbit interaction

Abstract

We reexamine the boundary conditions of spin diffusion equations for dirty semiconductor heterostructures with weak linear Rashba spin-orbit interaction. Doing so, we focus on the influence of tangent derivatives of the particle density at the boundary on the magnetization. Such derivatives are associated with a spin accumulation in the presence of a density gradient. We show that the tangent derivatives enter the boundary conditions and argue that the spin-Hall effect is absent in such systems because of this fact.

7 pages

References in corpus (15)

• Universal Intrinsic Spin-Hall Effect
• 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
• Current induced electron spin polarization in strained semiconductors
• Experimental Separation of Rashba and Dresselhaus Spin-Splittings in Semiconductor Quantum Wells
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Intrinsic Spin Hall Edges
• Spin-Hall effect on edge magnetization and electric conductance of a 2D semiconductor strip
• Boundary conditions for spin diffusion
• Spin Transport in Two Dimensional Hopping Systems
• Spin relaxation in a Rashba semiconductor in an electric field
• Spin-Hall effect in semiconductor heterostructures with cubic Rashba spin-orbit interaction

Cited by in corpus (25)

• Spin dynamics in semiconductors
• Diffusive and precessional spin dynamics in a two-dimensional electron gas with disorder: a gauge theory view
• Boundary conditions for spin diffusion
• Theory of conserved spin current and its application to two dimensional hole gas
• Boundary spin Hall effect in a two-dimensional semiconductor system with Rashba spin-orbit coupling
• Spin-Hall effects in a Josephson contact
• Spin-Hall edge spin polarization in a ballistic 2D electron system
• Dynamic spin-Hall effect and driven spin helix for linear spin-orbit interactions
• Boundary conditions for spin and charge diffusion in the presence of interfacial spin-orbit coupling
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Supercurrent generation by spin injection in an s-wave superconductor-Rashba metal bilayer
• Extrinsic Entwined with Intrinsic Spin Hall Effect in Disordered Mesoscopic Bars
• Spin Injection in Quantum Wells with Spatially Dependent Rashba Interaction
• Spin-Hall interface resistance in terms of Landauer type spin dipoles
• Giant edge spin accumulation in a symmetric quantum well with two subbands
• Spin-Hall effect and spin-coherent excitations in a strongly confined two-dimensional hole gas
• Current-induced spin polarization and the spin Hall effect: a quasiclassical approach
• Manifestations of spin-orbit coupling in a cuprate superconductor
• Edge spin accumulation in 2D electron and hole systems in a quasi-ballistic regime
• Coupled spin-charge drift-diffusion approach for a two-dimensional electron gas with Rashba spin-orbit coupling
• Unitarity of scattering and edge spin accumulation
• Semiconductor Spintronics: Progress and Challenges
• Microscopic theory for the Doppler velocimetry of spin propagation in semiconductor quantum wells
• Hanle Effect near Boundaries
• Steady-state spin densities and currents