Edge properties of the chiral d-wave superconducting state in doped graphene

Physics – Condensed Matter – Superconductivity

Scientific paper

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4+ pages, 4 figures

Scientific paper

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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