Coulomb-interacting Dirac fermions in disordered graphene

We study such experimentally relevant characteristics of the Coulomb-interacting Dirac quasiparticles in disordered graphene as the quasiparticle width and density of states that can be probed by photoemission, magnetization, and tunneling measurements. We find that an interplay between the unscreened Coulomb interactions and pseudorelativistic quasiparticle kinematics can be best revealed in the ballistic regime, whereas in the diffusive limit the behavior is qualitatively similar to that of the ordinary two-dimensional electron gas with parabolic dispersion.