Gapless spin liquid and pair density wave of the Hubbard model on three-leg triangular cylinders

Abstract

We study the ground state properties of the Hubbard model on three-leg triangular cylinders using large-scale density-matrix renormalization group simulations. At half-filling, we identify an intermediate gapless spin liquid phase between a metallic phase at weak coupling and Mott insulating dimer phase at strong interaction, which has one gapless spin mode and algebraic spin-spin correlations but exponential decay scalar chiral-chiral correlations. Upon light doping the gapless spin liquid, the system exhibits power-law charge-density-wave (CDW) correlations but short-range single-particle, spin-spin, and chiral-chiral correlations. Similar to CDW correlations, the superconducting correlations are also quasi-long-ranged but oscillate in sign as a function of distance, which is consistent with the striped pair-density wave. When further doping the gapless spin liquid phase or doping the dimer order phase, another phase takes over, which has similar CDW correlations but all other correlations decay exponentially.

arXiv comment6 pages, 5 figures, Supplemental Material, 2 pages, 5 figures

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Cited by in corpus (12)

• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Exact solution for finite center-of-mass momentum Cooper pairing
• How quantum phases on cylinders approach the 2d limit
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality