Robust d-wave superconductivity in the square-lattice $t$-$J$ model

Abstract

Unravelling competing orders emergent in doped Mott insulators and their interplay with unconventional superconductivity is one of the major challenges in condensed matter physics. To explore possible superconductivity state in the doped Mott insulator, we study a square-lattice $t$-$J$ model with both the nearest and next-nearest-neighbor electron hoppings and spin Heisenberg interactions. By using the state-of-the-art density matrix renormalization group simulations with imposing charge $U(1)$ and spin $SU(2)$ symmetries on the large-scale six-leg cylinders, we establish a quantum phase diagram including three phases: a stripe charge density wave phase, a superconducting phase without static charge order, and a superconducting phase coexistent with a weak charge stripe order. Crucially, we demonstrate that the superconducting phase has a power-law pairing correlation decaying much slower than the charge density and spin correlations, which is a quasi-1D descendant of the uniform d-wave superconductor in two dimensions. These findings reveal that enhanced charge and spin fluctuations with optimal doping is able to produce robust d-wave superconductivity in doped Mott insulators, providing a foundation for connecting theories of superconductivity to models of strongly correlated systems.

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Cited by in corpus (62)

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• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
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• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
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• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• Traces of Electron-Phonon Coupling in One-Dimensional Cuprates
• Local Plaquette Physics as Key Ingredient of High-Temperature Superconductivity in Cuprates
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• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
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• Fragmented Cooper pair condensation in striped superconductors
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
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• Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States
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• Extracting the Speed of Light from Matrix Product States
• How quantum phases on cylinders approach the 2d limit
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
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• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
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• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• The Influence of Extended Interactions on Spin Dynamics in One-dimensional Cuprates
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• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Quantum colored strings in the hole-doped $t$-$J_z$ model
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
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• Superfluid dome in the spatially modulated two-dimensional XY model
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