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

References in corpus (6)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Spin-Hall effect in a disordered 2D electron-system
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Spin Hall Effect
• Small-angle impurity scattering and the spin Hall conductivity in 2D systems

Cited by in corpus (2)

• Topological Change of the Fermi Surface in Low Density Rashba Gases: Application to Superconductivity
• Spin and charge optical conductivities in spin-orbit coupled systems