Spin Current in Spin-Orbit Coupling Systems

Abstract

We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin-orbital coupling Hamiltonians. Except for the adiabatic approximation, our derivation is exact to the linear order of the electric field for both models. The spin current is a direct result of the difference in occupation levels between different bands. Moreover, we show a general topological spin current can be defined for a broad class of spin-orbit coupling systems.

References in corpus (4)

• Basic obstacle for electrical spin-injection from a ferromagnetic metal into a diffusive semiconductor
• Dissipationless Quantum Spin Current at Room Temperature
• A Four Dimensional Generalization of the Quantum Hall Effect
• Electrical detection of spin accumulation in a p-type GaAs quantum well

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• Spin Hall effect and Berry phase in two dimensional electron gas
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• Intrinsic Spin Hall Edges
• Spin susceptibilities, spin densities and their connection to spin-currents
• Resonant spin Hall conductance in quantum Hall systems lacking bulk and structural inversion symmetry
• Detection of current-induced spins by ferromagnetic contacts
• Spin Hall Effect and Spin Transfer in Disordered Rashba Model
• Influences of spin accumulation on the intrinsic spin Hall effect in two dimensional electron gases with Rashba spin-orbit coupling
• Opposite spin accumulations on the transverse edges by the confining potential
• Generalized Kubo formula for spin transport: A theory of linear response to non-Abelian fields
• Resonant intrinsic spin Hall effect in p-type GaAs quantum well structure
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Spin-Hall effect in two-dimensional mesoscopic hole systems
• Light Induced Hall effect in semiconductors with spin-orbit coupling
• On the conservation of spin currents in spin-orbit coupled systems
• Non-equilibrium spin polarization effects in spin-orbit coupling system and contacting metallic leads
• Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system
• Some symmetry properties of spin currents and spin polarizations in multi-terminal mesoscopic spin-orbit coupled systems
• Spin Polarization and Dichroism Effects by Electric Field