Renormalization group flow of quartic perturbations in graphene: Strong coupling and large-N limits

Abstract

We explore the renormalization group flow of quartic perturbations in the low-energy 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 next-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.

10 pages, 6 figures. Replaced with published version

References in corpus (2)

• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Critical Flavor Number in the Three Dimensional Thirring Model

Cited by in corpus (6)

• Theory of interacting electrons on the honeycomb lattice
• Quantum Critical Behaviour in a Graphene-like Model
• Dynamical Mean Field Study of The Dirac Liquid
• Magnetization of Planar Four-Fermion Systems
• Dynamical Lorentz symmetry breaking in 3D and charge fractionalization
• Quantum Phase Transition in a Graphene Model