Orbital ac spin-Hall effect in the hopping regime

Abstract

The Rashba and Dresselhaus spin-orbit interactions are both shown to yield the low temperature spin-Hall effect for strongly localized electrons coupled to phonons. A frequency-dependent electric field $\mathbf{E}(\omega )$ generates a spin-polarization current, normal to $\mathbf{E}$, due to interference of hopping paths. At zero temperature the corresponding spin-Hall conductivity is real and is proportional to ${\omega }^2$. At non-zero temperatures the coupling to the phonons yields an imaginary term proportional to $\omega$. The interference also yields persistent spin currents at thermal equilibrium, at $\mathbf{E}=0$. The contributions from the Dresselhaus and Rashba interactions to the interference oppose each other.

4 pages, no figures

References in corpus (11)

• 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
• Spin Hall effect and Berry phase in two dimensional electron gas
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Spin susceptibilities, spin densities and their connection to spin-currents
• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Hall resistance in the hopping regime, a "Hall Insulator"?
• Spin Transport in Two Dimensional Hopping Systems
• Nonequilibrium orbital magnetization of strongly localized electrons
• Spin Transport in Disordered Two-Dimensional Hopping Systems with Rashba Spin-Orbit Interaction

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• Mechanically-controlled spin-selective transport
• Universal power law decay of spin polarization in double quantum dot
• Spin-related phenomena in two-dimensional hopping regime in magnetic field
• Rashba spin-splitting of single electrons and Cooper pairs
• Topological Force and Torque in Spin-Orbit Coupling System
• Spin precession in spin-orbit coupled weak links: Coulomb repulsion and Pauli quenching
• Fermionic and bosonic ac conductivities at strong disorder
• Rashba proximity states in superconducting tunnel junctions
• Point contact spectroscopy of hopping transport: effects of a magnetic field
• Tight-binding electronic spectra on graphs with spherical topology. II. The effect of spin-orbit interaction