1204.2425 (Annica M. Black-Schaffer)
Annica M. Black-Schaffer
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+id 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. 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 an externally induced Rashba spin-orbit coupling, a Majorana fermion appears at the edge when tuning a Zeeman field.
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http://arxiv.org/abs/1204.2425
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