Intra-valley Spin-triplet $p+ip$ Superconducting Pairing in Lightly Doped Graphene

Abstract

We analyze various possible superconducting pairing states and their relative stabilities in lightly doped graphene. We show that, when inter-sublattice electron-electron attractive interaction dominates and Fermi level is close to Dirac points, the system will favor intra-valley spin-triplet $p+\mathrm{i}p$ pairing state. Based on the novel pairing state, we further propose a scheme for doing topological quantum computation in graphene by engineering local strain fields and external magnetic fields.

5 pages, 2 figures were updated, 1 table, three references were added, minor revision, close to the published version

References in corpus (6)

• The electronic properties of graphene
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Observation of half-height magnetization steps in Sr2RuO4
• Density waves and Cooper pairing on the honeycomb lattice
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
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Cited by in corpus (5)

• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Quasiperiodic pairing in graphene quasicrystals
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field