Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice

Abstract

We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction $J_K$, which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping is studied within the $t$-$J_K$ model on a three-leg cylinder using density-matrix renormalization group. Upon light doping, we find that the ground state of the system has quasi-long-range charge-density-wave correlations but short-range single-particle correlations. The dominant pairing channel is the even-parity superconducting pair-pair correlations with $d$-wave-like symmetry, which oscillate in sign as a function of separation with a period equal to that of the spin-density wave and two times the charge-density wave. Although these correlations fall rapidly (possibly exponentially) at long distances, this is never-the-less the first example where a pair-density wave is the strongest SC order on a bipartite lattice. Our results may be relevant to $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha$-$\mathrm{RuC}{\mathrm{l}}_3$ upon doping.

arXiv comment8 pages, 10 figures

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• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Gapless spin liquid and pair density wave of the Hubbard model on three-leg triangular cylinders
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Exact solution for finite center-of-mass momentum Cooper pairing
• Charge, bond, and pair density wave orders in a strongly correlated system
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
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• Strange metal from incoherent bosons
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• Pairing tendencies in the doped Kitaev-Heisenberg model
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Using magnetic dynamics to measure the spin gap in a candidate Kitaev material
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• Spin-triplet pair density wave superconductors
• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration