Possible singlet and triplet superconductivity on honeycomb lattice

Abstract

We study the possible superconducting pairing symmetry mediated by spin and charge fluctuations on the honeycomb lattice using the extended Hubbard model and the random-phase-approximation method. From $2\%$ to $20\%$ doping levels, a spin-singlet $d_{x^2-y^2}+i{d}_{xy}$-wave is shown to be the leading superconducting pairing symmetry when only the on-site Coulomb interaction $U$ is considered, with the gap function being a mixture of the nearest-neighbor and next-nearest-neighbor pairings. When the offset of the energy level between the two sublattices exceeds a critical value, the most favorable pairing is a spin-triplet $f$-wave which is mainly composed of the next-nearest-neighbor pairing. We show that the next-nearest-neighbor Coulomb interaction $V$ is also in favor of the spin-triplet $f$-wave pairing.

arXiv comment6 pages, 4 figures

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• Superconductivity of repulsive spinless fermions with sublattice potentials
• Spin excitations in the heavily overdoped monolayer graphene superconductor: an analog to the cuprates
• Inducing chiral superconductivity on honeycomb lattice systems
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study
• Exotic Topological Phenomena in Chiral Superconducting States on Doped Quantum Spin Hall Insulators with Honeycomb Lattices