Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders

Abstract

Superconductivity in doped quantum paramagnets has been a subject of long theoretical inquiry. In this work we report a density matrix renormalization group study of lightly doped $t$-$J$ models on the square lattice (doped hole densities $\delta =1/12$ and 1/8) with parameters for which previous studies have suggested that the undoped system in 2D is either a quantum spin liquid or a valence bond crystal. Our studies are performed on cylinders with width up to 8. Ground-state correlations are found to be nearly identical for the ``doped quantum spin liquid'' and ``doped valence bond crystal''. Upon increasing the cylinder width from 4 to 8, we observed a significant strengthening of the quasi-long-range superconducting correlations, and a dramatic suppression of any ``competing'' charge-density-wave order. Extrapolating from the observed behavior of the width 8 cylinders, we speculate that the system has a nodeless d-wave superconducting ground-state in the 2D limit.

12 pages, 9 figures and 1 table

References in corpus (12)

• 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
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Stripe order enhanced superconductivity in the Hubbard model
• Enhanced superconductivity by near-neighbor attraction in the doped Hubbard model
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• How quantum phases on cylinders approach the 2d limit
• Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models

Cited by in corpus (15)

• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Fractionalized Fermi liquids and the cuprate phase diagram
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Influence of oxygen orbitals and boundary conditions on the pairing behavior in the Emery model for doped ladders
• Competing pair density wave orders in the square lattice $t$-$J$ model
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes