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We present a first-principles investigation of the phonon-induced electronself-energy in graphene. The energy dependence of the self-energy reflects thepeculiar linear bandstructure of graphene and deviates substantially from theusual metallic behavior. The effective band velocity of the Dirac fermions isfound to be reduced by 4-8%, depending on doping, by the interaction withlattice vibrations. Our results are consistent with the observed lineardependence of the electronic linewidth on the binding energy in photoemissionspectra.

Velocity Renormalization and Carrier Lifetime in Graphene from Electron-Phonon Interaction