Phonon-induced many-body renormalization of graphene electronic properties

In this talk, we present a many-body theory for the electron-phonon interaction effects on the electronic properties of graphene. We provide analytical results for the electron self-energy, spectral function, and band velocity renormalization due to phonon-mediated electron-electron interaction, showing that phonon-mediated electron-electron coupling has a large effect on the graphene band structure renormalization. Our analytic theory successfully captures the essential features of the observed graphene electron spectra in the angle-resolved photoemission spectroscopy (ARPES) experiments, predicting a kink at $\sim 200\mathrm{meV}$ below the Fermi level and a reduction of the band velocity by $\sim 10-20\%$ at the experimental doping level.