Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates

Abstract

The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not explicitly consider the orbital degrees of freedom of the relevant CuO${}_2$ planes. Here, we use a dynamic cluster quantum Monte Carlo approximation to study the orbital structure of the pairing interaction in the three-band Hubbard model, which treats the orbital degrees of freedom explicitly. We find that the interaction predominately acts between neighboring copper orbitals, but with significant additional weight appearing on the surrounding bonding molecular oxygen orbitals. By explicitly comparing these results to those from the simpler single-band Hubbard model, our study provides strong support for the single-band framework for describing superconductivity in the cuprates.

References in corpus (33)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Quantum Cluster Theories
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• Strength of Correlations in electron and hole doped cuprates
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• The Structure of the Pairing Interaction in the 2D Hubbard Model
• Apical oxygens and correlation strength in electron and hole doped copper oxides
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Physics of cuprates with the two-band Hubbard model - The validity of the one-band Hubbard model
• High-spin polaron in lightly doped CuO${}_2$ planes
• Pairing dynamics in strongly correlated superconductivity
• Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• The dynamics of a doped hole in cuprates is not controlled by spin fluctuations
• Phase diagram and single-particle spectrum of CuO${}_2$ layers within a variational cluster approach to the 3-band Hubbard model
• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Pairing Glue in the Two Dimensional Hubbard Model
• Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T violating orbital current phase
• DCA++: A software framework to solve correlated electron problems with modern quantum cluster methods
• Non-Zhang-Rice singlet character of the first ionization state of T-CuO
• Relevance of Cu-3d multiplet structure in models of high Tc cuprates
• The Impact of an Oxygen Dopant in an ideal Bi-2212 Crystal
• Implications of Resonant Inelastic X-ray Scattering Data for Theoretical Models of Cuprates
• Magnon-mediated interactions between fermions depend strongly on the lattice structure
• Superconducting properties of the hole-doped three-band \emph{d-p} model studied with minimal-size real-space \emph{d}-wave pairing operators
• Minimal-size Real Space d-wave Pairing Operator in CuO2 Planes

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• Robust charge-density wave correlations in the electron-doped single-band Hubbard model
• Unified description of cuprate superconductors using four-band $d$-$p$ model
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• Monte Carlo study of cuprate superconductors in a four-band $d$-$p$ model: Role of orbital degrees of freedom
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Oxygen hole content, charge-transfer gap, covalency, and cuprate superconductivity
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model