Superconducting states of pure and doped graphene

TL;DR

This paper investigates potential superconducting phases in pure and doped graphene, identifying s-wave and exotic p+ip states, with implications for superconductivity in metal-coated graphene.

Contribution

It introduces the possibility of p+ip superconductivity in graphene due to its lattice structure, expanding understanding of unconventional pairing states.

Findings

Identifies s-wave and p+ip pairing states in graphene

p+ip phase is gapless at half filling

Superconductivity may occur in metal-coated 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.