Nonadiabatic Contribution to the Quasiparticle Self-Energy in Systems with Strong Electron-Phonon Interaction

Abstract

We investigate effects of a nonadiabatic electron-phonon(boson) interaction on the quasiparticle self-energy in the lowest order in the coupling constant. Existing approaches either overestimate, or underestimate these effects because of different approximations for momentum and frequency dependences of the vertex corrections. The connection between the nonadiabaticity and a possible instability of the interacting Fermi system is discussed as well.

arXiv comment20 pages, 4 figures

References in corpus (5)

• Isotope effect on $m^{\ast }$ in high-T_c materials due to the breakdown of Migdal's theorem
• Theory of Superconducting $T_c$ of doped fullerenes
• Statics and dynamics of charge fluctuations in the t-J model
• The Ward identity and nonadiabatic corrections to the quasiparticle self-energy
• Forward Electron-Phonon Scattering in Normal and Superconducting States

Cited by in corpus (7)

• Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
• Electron and phonon dispersions of the two dimensional Holstein model: Effects of vertex and non-local corrections
• Superconducting states of the quasi-2D Holstein model: Effects of vertex and non-local corrections
• Incoherent mid-infrared charge excitation and the high energy anomaly in the photoemission spectra of cuprates
• Cascade of replica bands in flat band systems: predictions for twisted bilayer graphene
• Charge correlations suppress unconventional pairing in the Holstein model
• Superconductivity induced by flexural modes in non ${\sigma }_{\mathrm{h}}$-symmetric Dirac-like two-dimensional materials: A theoretical study for silicene and germanene