Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms

Abstract

The $t$-$J$ model is a standard model of strongly correlated electrons, often studied in the context of high-$T_c$ superconductivity. However, most studies of this model neglect three-site terms, which appear at the same order as the superexchange $J$. As these terms correspond to pair-hopping, they are expected to play an important role in the physics of superconductivity when doped sufficiently far from half-filling. In this paper we present a density matrix renormalisation group study of the one-dimensional $t$-$J$ model with the pair hopping terms included. We demonstrate that that these additional terms radically change the one-dimensional ground state phase diagram, extending the superconducting region at low fillings, while at larger fillings, superconductivity is completely suppressed. We explain this effect by introducing a simplified effective model of repulsive hardcore bosons.

arXiv comment10 Pages, 7 figures

References in corpus (32)

• The density-matrix renormalization group in the age of matrix product states
• Correlated Electrons in High Temperature Superconductors
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Dynamical control of matter-wave tunneling in periodic potentials
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• SO(5) Theory of Antiferromagnetism and Superconductivity
• Nonlinear light-matter interaction at terahertz frequencies
• Ultrafast and reversible control of the exchange interaction in Mott insulators
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Dynamic properties of the one-dimensional Bose-Hubbard model
• THz-Frequency Modulation of the Hubbard U in an Organic Mott Insulator
• Tomonaga-Luttinger parameters for doped Mott insulators
• Pair Correlations in Doped Hubbard Ladders
• Enhancement of super-exchange pairing in the periodically-driven Hubbard model
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• Ground-State Phase Diagram of the 1D t-J model
• Deconstructing the Hubbard Hamiltonian by Ultrafast Quantum Modulation Spectroscopy in Solid-state Mott Insulators
• Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder
• Renormalized mean-field t-J model of high-Tc superconductivity: comparison with experiment
• Multigrid Algorithms for Tensor Network States
• The Tensor Network Theory Library
• Effect of the Three-Site Hopping Term on the t-J Model
• A possible phase diagram of a t-J ladder model
• Ultra-fast control of magnetic relaxation in a periodically driven Hubbard model
• Phase Separation and Three-site Hopping in the 2-dimensional t-J Model
• Competition between spin exchange and correlated hopping

Cited by in corpus (11)

• Floquet dynamics in driven Fermi-Hubbard systems
• Manipulating quantum materials with quantum light
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Fractons from a liquid of singlet pairs
• Anomalous spin-charge separation in a driven Hubbard system
• Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models
• Controlling magnetic correlations in a driven Hubbard system far from half-filling
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Fractionalized Kohn-Sham Scheme for Strongly Correlated Electrons
• Floquet Schrieffer-Wolff transform based on Sylvester equations