Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure

Abstract

We investigate the ground-state properties of a correlated model for the double-chain structure in cuprates. We consider the $t$-$J$ model, in which the nearest-neighbor spin interaction $J_1$ is smaller than the next-nearest-neighbor interaction $J_2$ corresponding to the CuO double-chain structure. We vary $J_1$ from antiferromagnetic to ferromagnetic values and calculate the correlation functions including the superconducting pair correlation function. Employing the density-matrix renormalization group method, we show that the ground state for antiferromagnetic $J_1$ exhibits the hallmarks of the Luther-Emery liquid phase, in which the spin-singlet pair and charge-density-wave correlations exhibit power-law decays against distance, and the spin correlation function decays exponentially. Its signatures are gradually dismissed as $J_1$ approaches the ferromagnetic regime. Our findings suggest that the antiferromagnetic double-chain structure without ferromagnetic bonds is favorable for superconductivity.

arXiv comment7 pages, 7 figures

References in corpus (32)

• Correlated Electrons in High Temperature Superconductors
• The ITensor Software Library for Tensor Network Calculations
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Orbital physics in transition metal compounds: new trends
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Pair Correlations in Doped Hubbard Ladders
• Limited ferromagnetic interactions in monolayers of MPS${}_3$ (M=Mn, Ni)
• Superconductivity from doping a spin liquid insulator: a simple one-dimensional example
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Superconductivity in Pr2Ba4Cu7O15-delta with metallic double chains
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• Superconductivity due to spin fluctuations originating from multiple Fermi surfaces in a double chain superconductor Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$}
• Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers
• Superconductivity in the CuO double chain of Pr_2Ba_4Cu_7O_15-delta on the basis of Tomonaga-Luttinger liquid theory
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Coexistence of valence-bond formation and topological order in the Frustrated Ferromagnetic $J_1$-$J_2$ Chain
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Reexamining doped two-legged Hubbard ladders
• Superconductivity in zigzag CuO chains
• Filling-dependence of the zigzag Hubbard ladder for a quasi-one-dimensional superconductor Pr_2Ba_4Cu_7O_{15-delta}
• Electronic States and Superconducting Transition Temperature based on the Tomonaga-Luttinger liquid in Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Effect of pressure on magneto-transport properties in the superconducting and normal phases of the metallic double chain compound Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Nonmonotonic Pressure Dependence of the Lattice Parameter $a$ in the Quasi-one-dimensional Superconductor Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Nuclear-spin evidence of insulating and antiferromagnetic state of CuO2 planes in superconducting Pr2Ba4Cu7O15-δ
• Crystal structures and superconducting properties of metallic double-chain based cuprate Pr2Ba4Cu7O15-delta

Cited by in corpus (2)

• Influence of oxygen orbitals and boundary conditions on the pairing behavior in the Emery model for doped ladders
• Theoretical analysis of the origin of the double-well band dispersion in the CuO double chains of Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$ and its impact on superconductivity