Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian

Abstract

Determinant Quantum Monte Carlo (DQMC) is used to determine the pairing and magnetic response for a Hubbard model built up from four-site clusters -a two-dimensional square lattice consisting of elemental 2x2 plaquettes with hopping $t$ and on-site repulsion $U$ coupled by an inter-plaquette hopping $t^{\prime }\le t$. Superconductivity in this geometry has previously been studied by a variety of analytic and numeric methods, with differing conclusions concerning whether the pairing correlations and transition temperature are raised near half-filling by the inhomogeneous hopping or not. For $U/t=4$, DQMC indicates an optimal $t^{\prime }/t\approx 0.4$ at which the pairing vertex is most attractive. The optimal $t^{\prime }/t$ increases with $U/t$. We then contrast our results for this plaquette model with a Hamiltonian which instead involves a regular pattern of site energies whose large site energy limit is the three band CuO${}_2$ model; we show that there the inhomogeneity rapidly, and monotonically, suppresses pairing.

13 pages, 19 figures

References in corpus (12)

• The Optimal Inhomogeneity for Superconductivity: Finite Size Studies
• Myriad phases of the Checkerboard Hubbard Model
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Suppression of d-wave superconductivity in the checkerboard Hubbard model
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameter
• Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D pyrochlore lattice at fractional filling

Cited by in corpus (15)

• The Hubbard Model
• Geometry Dependence of the Sign Problem
• Stripe order enhanced superconductivity in the Hubbard model
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Superconducting Phases of the Square-Lattice Extended Hubbard Model
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Enhancement of $d$-wave pairing in the striped phase with the nearest neighbour attraction
• Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping
• Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices
• $\pi$-Phase shift across stripes in a charge density wave system
• Quantum state tomography on a plaquette in the 2D Hubbard model
• Enhancement of superconductivity due to kinetic-energy effect in the strongly correlated phase of the two-dimensional Hubbard model
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV