December 2007, to be published in Physical Review B15


Renormalization group flow of quartic perturbations in graphene: Strong coupling and large-$N$ limits
Joaqu\ ' { \ i} n E. Drut and Dam Thanh Son

We explore the renormalization group flow of quartic perturbations in the low-enegy theory of graphene, in the strong Coulomb coupling and large-$N$ limits, where $N$ is the number of fermion flavors. We compute the anomalous dimensions of the quartic couplings $u$ up to leading order in $1/N$ and find both relevant and irrelevant directions in the space of quartic couplings. We discuss possible phase diagrams and relevance for the physics of graphene.

© 2008 The American Physical Society.