d-Wave superconductivity on the checkerboard Hubbard model at weak and strong coupling

Abstract

It has been argued that inhomogeneity generally can enhance superconductivity in the cuprate high-Tc materials. To check the validity of this claim, we study d-wave superconductivity on the checkerboard Hubbard model on a square lattice using the Cellular Dynamical Mean Field theory method with an exact diagonalization solver at zero temperature. The d-wave order parameter is computed for various inhomogeneity levels over the entire doping range of interest in both strong and weak coupling regimes. At a given doping, the size of the d-wave order parameter manifests itself directly in the height of the coherence peaks and hence is an appropriate measure of the strength of superconductivity. The weak coupling results reveal a suppression of the order parameter in the presence of inhomogeneity for small to intermediate hole dopings, while it is enhanced for large dopings. In contrast, for strong coupling there is a monotonic decrease in the maximum amplitude of the superconducting order parameter with inhomogeneity over the entire doping range of interest. Furthermore, at moderately high inhomogeneity, the system undergoes a first-order transition from the superconducting to the normal state in the underdoped regime. In the overdoped regime, the change in the value of the superconducting order parameter correlates with the height of the lowest energy peak in the spectral weight of antiferromagnetic spin fluctuations, confirming the connection between antiferromagnetic fluctuations and d-wave superconductivity found in earlier studies on the homogeneous case. Our results are benchmarked by comparisons with numerically exact results on the checkerboard Hubbard ladder.

Expanded version includes results on checkerboard Hubbard ladder: 10 pages, 12 figures

References in corpus (15)

• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• The Optimal Inhomogeneity for Superconductivity: Finite Size Studies
• Inhomogeneity-induced enhancement of the pairing interaction in cuprates
• Myriad phases of the Checkerboard Hubbard Model
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• s-wave Superconductivity Phase Diagram in the Inhomogeneous Two-Dimensional Attractive Hubbard Model
• A contractor-renormalization study of Hubbard plaquette clusters
• Suppression of d-wave superconductivity in the checkerboard Hubbard model
• Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High-$T_c$ Cuprate

Cited by in corpus (9)

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• Band-structure effects on superconductivity in Hubbard models
• Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian
• Quantum phase transitions of multi-species Dirac fermions
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Effect of atomic disorder and Ce doping on superconductivity of Ca3Rh4Sn13: Electric transport properties under high pressure
• Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping
• Disorder effects on superconducting tendencies in the checkerboard Hubbard model
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices