Spin-Hall Conductivity in Electron-Phonon Coupled Systems

Abstract

We derive the ac spin-Hall conductivity ${\sigma }_{\mathrm{sH}}(\omega )$ of two-dimensional spin-orbit coupled systems interacting with dispersionless phonons of frequency ${\omega }_0$. For the linear Rashba model we show that the electron-phonon contribution to the spin-vertex corrections breaks the universality of ${\sigma }_{\mathrm{sH}}(\omega )$ at low-frequencies and provides a non-trivial renormalization of the interband resonance. On the contrary, in a generalized Rashba model for which the spin-vertex contributions are absent, the coupling to the phonons enters only through the self-energy, leaving the low frequency behavior of ${\sigma }_{\mathrm{sH}}(\omega )$ unaffected by the electron-phonon interaction.

4 pages, 3 figures, version as printed

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• Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
• Interplay of the Rashba and Dresselhaus spin-orbit coupling in the optical spin susceptibility of 2D electron systems
• Impact of spin-orbit coupling on the Holstein polaron
• Room temperature spin thermoelectrics in metallic films
• Acoustic phonon-limited resistivity in spin-orbit coupled 2DEG: Deformation potential and piezoelectric scattering
• Phonon-drag thermopower and hot-electron energy-loss rate in a Rashba spin-orbit coupled two-dimensional electron system
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state