Static and dynamical response of graphene

We discuss the static and dynamical response of graphene. First, we show that including the full hexagonal lattice leads to anisotropic Friedel oscillations and paramagnetic orbital susceptibility around the neutrality point [1]. We then apply the dynamical current-current correlation function to discuss graphene's fluorescence quenching including also transverse decay channels and full retardation [2]. We finally discuss the optical properties of double layer graphene. \\[4pt] [1] G. G\'omez-Santos and T. Stauber, Phys. Rev. Lett. 106, 045504 (2011).\\[0pt] [2] G. G\'omez-Santos and T. Stauber, Phys. Rev. B 84, 165438 (2011).