%0 Journal Article
%T Edge properties of the chiral d-wave superconducting state in doped graphene
%A Annica M. Black-Schaffer
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevLett.109.197001
%X We investigate the effect of edges on the intrinsic electron-electron interaction driven d-wave superconducting state in graphene doped close to the van Hove singularity. While the bulk is in a chiral $d_{x^2-y^2}+id_{xy}$ state, the order parameter at any edge is enhanced and has $d_{x^2-y^2}$-symmetry, with a decay length strongly increasing with weakening superconductivity. No graphene edge is pair breaking for the $d_{x^2-y^2}$ state and we never find any localized zero-energy edge states. We find two chiral edge modes which carry a spontaneous, but not quantized, quasiparticle current related to the zero-energy momentum. Moreover, for realistic values of the Rashba spin-orbit coupling, a Majorana fermion appears at the edge when tuning a Zeeman field.
%U http://arxiv.org/abs/1204.2425v3