Coexistence of antiferromagnetism and topological superconductivity on the honeycomb lattice Hubbard model

Abstract

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with coexisting spin-singlet and spin-triplet pairings is induced by the antiferromagnetic order near half filling. The superconducting state we obtain has a topological phase transition that separates a topologically trivial state and a nontrivial state with Chern number two. Possible experimental realization of such a topological superconductivity is also discussed.

20 pages, 10 figures. Updated to the published version

References in corpus (9)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Superconductivity at 43 K in Samarium-arsenide Oxides $SmFeAs{O}_{1-x}{F}_x$
• Superconductivity at 41 K and its competition with spin-density-wave instability in layered CeO${}_{1-x}$F${}_x$FeAs
• Density waves and Cooper pairing on the honeycomb lattice
• Iron pnictides as a new setting for quantum criticality
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Topological Superconductivity in Two Dimensions with Mixed Chirality

Cited by in corpus (6)

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• Inducing and controlling superconductivity in Hubbard honeycomb model using an electromagnetic drive
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• Inducing chiral superconductivity on honeycomb lattice systems
• Non-unitary multiorbital superconductivity from competing interactions in Dirac materials
• Atomic relaxation and flat bands in strain-engineered transition metal dichalcogenide bilayer moiré systems