Mean Field Study of Superconductivity in the Square Lattice - Model with Three-Site Hopping
arXiv:2406.08780 · doi:10.1103/PhysRevB.110.054514
Abstract
It remains an open question whether the two-dimensional single-band pure Hubbard model and its related pure - model truly capture the superconducting order in cuprates. Recent numerical studies on this issue have raised a notable disparity in superconducting order between the pure Hubbard model and the pure - model. Inspired by these, we investigate the role of the three-site hopping term in -wave superconductivity, such a term is usually neglected in the effective Hamiltonian of the Hubbard model, though its amplitude is of the same order as the superexchange coupling in the - model. Our slave-boson mean-field solution demonstrates the suppression of -wave superconducting order by incorporating the three-site hopping term, consistent with numerical observations by the density matrix renormalization group. This suppression could be understood as a result of competition between superexchange interaction and three-site hopping, the former favors -wave pairing while the latter favors -wave pairing. We also discussed its role in quasiparticle dispersion and boson-condensation temperature. Our findings may offer an alternative understanding of the recent numerical contrasting findings in the strong coupling regime: the absent or weak superconductivity in the pure Hubbard model, while the robust superconductivity in the - model without including the three-site hopping term.
14 pages, 12 figures
References in corpus (27)
- The Hubbard Model
- Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
- High-temperature topological superconductivity in twisted double layer copper oxides
- Coexistence of superconductivity with partially filled stripes in the Hubbard model
- Ground State Phase Diagram of the -- model
- Robust d-wave superconductivity in the square-lattice - model
- Doped Mott Insulators in the Triangular Lattice Hubbard Model
- Microscopic spinon-chargon theory of magnetic polarons in the t-J model
- Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
- Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
- Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice - 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
- Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
- Enhancing -wave superconductivity with nearest-neighbor attraction of extended Hubbard model
- Role of oxygen-oxygen hopping in the three-band copper-oxide model: quasiparticle weight, metal insulator and magnetic phase boundaries, gap values and optical conductivity
- Numerical Investigation of Spin Excitations in a Doped Spin Chain
- Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
- Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
- Anomalous spin-charge separation in a driven Hubbard system
- Charge, bond, and pair density wave orders in a strongly correlated system
- Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
- Superconductivity with and without glue and the role of the double-occupancy forbidding constraint in the t-J-V model
- Phase Diagram of the Square-Lattice -- Model for Electron-Doped Cuprates
- Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
- Superconducting fluctuations and charge-4 plaquette state at strong coupling
- Controlling magnetic correlations in a driven Hubbard system far from half-filling