Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping

Abstract

It remains an open question whether the two-dimensional single-band pure Hubbard model and its related pure $t$-$J$ 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 $t$-$J$ model. Inspired by these, we investigate the role of the three-site hopping term in $d$-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 $J$ in the $t$-$J$ model. Our slave-boson mean-field solution demonstrates the suppression of $d$-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 $d$-wave pairing while the latter favors $s$-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 $t$-$J$ model without including the three-site hopping term.

arXiv comment14 pages, 12 figures

References in corpus (55)

• Correlated Electrons in High Temperature Superconductors
• Complexity in Strongly Correlated Electronic Systems
• A Common Thread: the pairing interaction for the unconventional superconductors
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• The Hubbard Model
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Ultrafast and reversible control of the exchange interaction in Mott insulators
• 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
• Phase Diagram and Pairing Symmetry of the Two-Dimensional t-J Model by a Variation Theory
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Theory of electron-hole asymmetry in doped {\em CuO${}_2$} planes
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Enhancement of super-exchange pairing in the periodically-driven Hubbard model
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Microscopic spinon-chargon theory of magnetic polarons in the t-J model
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Pairing Correlations on t-U-J Ladders
• Renormalized mean-field t-J model of high-Tc superconductivity: comparison with experiment
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Qualitative understanding of the sign of t' asymmetry in the extended t-J Model and relevance for pairing properties
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
• Origin of the high-energy charge excitations observed by resonant inelastic x-ray scattering in cuprate superconductors
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Effect of the Three-Site Hopping Term on the t-J Model
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Enhancing $d$-wave superconductivity with nearest-neighbor attraction of extended Hubbard model
• Differences in the quasiparticle dynamics for one-band and three-band cuprate models
• Hubbard model versus t-J model: The one-particle spectrum
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• 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
• Superconductivity and incommensurate spin fluctuations in a generalized t-J model for the cuprates
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet
• Intrinsic translational symmetry breaking in a doped Mott insulator
• Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms
• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• Surprises in the t-J model: Implications for cuprates
• Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
• Localization in a $t$-$J$ type ladder with translational symmetry
• 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
• Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Competition between spin exchange and correlated hopping
• Controlling magnetic correlations in a driven Hubbard system far from half-filling

Cited by in corpus (1)

• Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators