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.

4 pages, 6 figures

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• Electric Field Effect in Atomically Thin Carbon Films
• Electronic Properties of Disordered Two-Dimensional Carbon
• Bipolar supercurrent in graphene
• Specular Andreev reflection in graphene
• Electronic states and Landau levels in graphene stacks
• Excitation gap of a graphene channel with superconducting boundaries
• Experimental evidence of s-wave superconductivity in bulk CaC${}_6$

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