Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment

Abstract

The Gutzwiller wave function solution of the $t$-$J$-$U$ model is considered for the bilayer high-T${}_C$ superconductor by using the so-called diagrammatic expansion method. The focus is on the influence of the interlayer effects on the superconducting state. The chosen pairing symmetry is a mixture of $d_{x^2-y^2}$ symmetry within the layers and the so-called $s^{\pm }$ symmetry for the interlayer contribution. The analyzed interlayer terms reflect the interlayer electron hopping, the interlayer exchange coupling, and the interlayer pair hopping. The obtained results are compared with selected experimental data corresponding to the copper-based compound Bi-2212 with two Cu-O planes in the unit cell. For the sake of comparison, selected results for the case of the bilayer Hubbard model are also provided. This paper complements our recent results obtained for the single-plane high temperature cuprates [cf. J. Spałek, M. Zegrodnik, and J. Kaczmarczyk, Phys. Rev. B {\bf 95}, 024506 (2017)]

References in corpus (31)

• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Spin waves and electronic interactions in La2CuO4
• Bare electron dispersion from photoemission experiments
• Self-consistent self-energy analysis of photoemission data
• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
• "Kinks", Nodal Bilayer Splitting and Interband Scattering in YBCO
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Enhancement of the superconducting transition temperature in La2-xSrxCuO4 bilayers: Role of pairing and phase stiffness
• High-temperature superconductivity in the Hubbard model: Gutzwiller wave-function solution
• Variational study of Fermi-surface deformations in Hubbard models
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Renormalized mean-field t-J model of high-Tc superconductivity: comparison with experiment
• Evidence for CuO conducting band splitting in the nodal direction of Bi-2212
• Unrestricted renormalized mean field theory of strongly correlated electron systems
• High temperature superconductivity in the two-dimensional $t$-$J$ model: Gutzwiller wave function solution
• Phases of a bilayer Fermi gas
• Even-parity spin-triplet pairing for orbitally degenerate correlated electrons by purely repulsive interactions
• Superconductivity assisted by inter-layer pair hopping in multi-layered cuprates
• Coexistence of antiferromagnetism and superconductivity within t-J model with strong correlations and nonzero spin polarization
• Transition temperature and a spatial dependence of the superconducting gap for multilayer high-temperature superconductors
• Phase diagram of the square lattice bilayer Hubbard model: a variational Monte Carlo study
• Superconductivity in the doped bilayer Hubbard model
• Correlation-driven multigap d-wave superconductivity in Anderson lattice model
• Quantum oscillation signatures of nodal spin-orbit coupling in underdoped bilayer high Tc cuprates
• Charge Imbalance Effects on Interlayer Hopping and Fermi Surfaces in Multilayered High-T_c Cuprates
• Comparison of two approaches for the treatment of Gutzwiller variational wave functions
• Multiple quantum oscillation frequencies in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ and bilayer splitting
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Precise determination of the superconducting gap along the diagonal direction of Bi2Sr2CaCu2O8+y: Evidence for extended s-wave gap symmetry
• Coexistence of magnetism and superconductivity in a t-J bilayer
• Interlayer couplings and the coexistence of antiferromagnetic and d-wave pairing order in multilayer cuprates

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