Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state

Abstract

We study superconductivity on the honeycomb lattice close to the Mott state at half-filling. Due to the sixfold lattice symmetry and disjoint Fermi surfaces at opposite momenta, we show that several different fully gapped superconducting states naturally exist on the honeycomb lattice, of which the chiral $d+i{d}^{\prime }$-wave state has previously been shown to appear when superconductivity appears close to the Mott state. Using renormalized mean-field theory to study the t-J model and quantum Monte Carlo calculations of the Hubbard-U model we show that the $d+i{d}^{\prime }$-wave state is the favored superconducting state for a wide range of on-site repulsion U, from the intermediate to the strong coupling regime. We also investigate the possibility of a mixed chirality d-wave state, where the overall chirality cancels. We find that a state with $d+i{d}^{\prime }$-wave symmetry in one valley but $d-i{d}^{\prime }$-wave symmetry in the other valley is not possible in the t-J model without reducing the translational symmetry, due to the zero-momentum and spin-singlet nature of the superconducting order parameter. Moreover, any extended unit cells result either in disjoint Dirac points, which cannot harbor this mixed chirality state, or the two valleys are degenerate at the zone center, where valley hybridization prevents different superconducting condensates. We also investigate extended unit cells where the overall chirality cancels in real space. For supercells containing up to eight sites, including the Kekulé distortion, we find no energetically favorable d-wave solution with an overall zero chirality within the restriction of the t-J model.

14 pages. v2 only minor changes

References in corpus (22)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Topological Mott Insulators
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Density waves and Cooper pairing on the honeycomb lattice
• Correlation effects in two-dimensional topological insulators
• Kohn-Luttinger superconductivity in graphene
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
• A Fractionalized Quantum Spin Hall Effect
• Interplay of superconductivity and spin density wave order in doped graphene
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model

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