Oskar vafek Interaction and disorder effects in single and double layer graphene. Primary focus of this talk will be the role of the 1/r Coulomb interactions, which are poorly screened in single layer graphene and, combined with disorder, lead to interesting new many-body effects. Specifically, the combined effect of (Gaussian) random vector and scalar potentials and the Coulomb interactions will be argued to lead to a locally stable line of infra-red fixed points at finite disorder and finite interactions. The minimal conductivity along this line will be shown to be non-universal and disorder dependent. In the case of graphene bilayer, electron interactions can lead to possible nematic order. Its properties and the renormalization group analysis which leads to this conclusion will be presented.