Competing pairing channels in the doped honeycomb lattice Hubbard model

Abstract

Proposals for superconductivity emerging from correlated electrons in the doped Hubbard model on the honeycomb lattice range from chiral $d+id$ singlet to $p+ip$ triplet pairing, depending on the considered range of doping and interaction strength, as well as the approach used to analyze the pairing instabilities. Here, we consider these scenarios using large-scale dynamic cluster approximation (DCA) calculations to examine the evolution in the leading pairing symmetry from weak to intermediate coupling strength. These calculations focus on doping levels around the van Hove singularity (VHS) and are performed using DCA simulations with an interaction-expansion continuous-time quantum Monte Carlo cluster solver. We calculated explicitly the temperature dependence of different uniform superconducting pairing susceptibilities and found a consistent picture emerging upon gradually increasing the cluster size: while at weak coupling the $d+id$ singlet pairing dominates close to the VHS filling, an enhanced tendency towards $p$-wave triplet pairing upon further increasing the interaction strength is observed. The relevance of these systematic results for existing proposals and ongoing pursuits of odd-parity topological superconductivity are also discussed.

7 pages, 5 figures

References in corpus (12)

• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Density waves and Cooper pairing on the honeycomb lattice
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Study of the Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
• Mott transition in the triangular lattice Hubbard model: a dynamical cluster approximation study
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Kekulé superconductivity and antiferromagnetism on the graphene lattice

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