Electron-phonon effects on spin-orbit split bands of two dimensional systems

Abstract

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we solve numerically the self-consistent non-crossing approximation for the self-energy and calculate the electron mass enhancement $m^{\ast }/m$ and the spectral properties. We find that, even for nominal weak electron-phonon interaction, for strong spin-orbit couplings the electrons behave as effectively strongly coupled to the phonons. We interpret this result by a topological change of the Fermi surface occurring at sufficiently strong spin-orbit coupling, which induces a square-root divergence in the electronic density of states at low energies. We provide results for $m^{\ast }/m$ and for the density of states of the interacting electrons for several values of the electron filling and of the spin-orbit interaction.

9 pages, 6 figures. Version as printed

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• Spin-orbital Jahn-Teller bipolarons
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• Weak and strong coupling limits of the two-dimensional Fröhlich polaron with spin-orbit Rashba interaction
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• Impact of spin-orbit coupling on the Holstein polaron
• Effect of spin-orbit coupling on the zero-point renormalization of the electronic band gap in cubic materials: First-principles calculations and generalized Fröhlich model
• Coupled spin and electron-phonon dynamics at the relativistic Tl/Si(111) surface
• Phonon-drag thermopower and hot-electron energy-loss rate in a Rashba spin-orbit coupled two-dimensional electron system
• Acoustic phonon-limited resistivity in spin-orbit coupled 2DEG: Deformation potential and piezoelectric scattering
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