Effects of the electron-phonon interaction on spectroscopies of graphene

We examine the effect of the electron-phonon interaction in graphene on the electronic density of states, the quasiparticle spectrum and the optical conductivity. A simplified model of coupling to an Einstein mode at 200 meV is employed and self-consistent calculations are performed. The results will be discussed in relation to tunneling, ARPES and optical conductivity experiments on graphene.