Lattice quantum electrodynamics for graphene

Understand

The effects of gauge interactions in graphene have been analyzed up to now in terms of effective models of Dirac fermions.

• However, in several cases lattice effects play an important role and need to be taken consistently into account.
• In this paper we introduce and analyze a lattice gauge theory model for graphene, which describes tight binding electrons hopping on the honeycomb lattice and interacting with a three-dimensional quantum U(1) gauge field.
• We perform an exact Renormalization Group analysis, which leads to a renormalized expansion that is finite at all orders.