Superconducting states of pure and doped graphene
Abstract
We study the superconducting phases of the two-dimensional honeycomb lattice of graphene. We find two spin singlet pairing states, s-wave and an exotic
p+ip
that is possible because of the special structure of the honeycomb lattice. At half filling, the
p+ip
phase is gapless and superconductivity is a hidden order. We discuss the possibility of a superconducting state in metal coated graphene.