Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder

Abstract

We report the numerical discovery of a pair-density-wave (PDW) superconductor from doping either (i) a spin-one Haldane chain or (ii) a two-leg ladder in the rung singlet phase in which the doped charges occupy a single leg. We model these systems using a generalized Kondo model. The itinerant electrons are correlated and described by the $t-J$ model, and are further coupled to a spin $1/2$ Heisenberg model through the Kondo coupling $J_K$. When the density of electrons $x$ is one, the Mott insulator is in a Haldane phase or in a rung singlet phase depending on whether $J_K$ is negative or positive. Upon doping, a pair-density-wave with $\mathbf{Q}=\pi$ can emerge for both signs of $J_K$. In the $J_K\to -\infty$ limit, the model reduces to the recently proposed type II t-J model and we observes a continuous transition between the PDW superconductor and an unconventional Luttinger liquid phase with doping. We also identify a composite order parameter for the superconductor, which can be understood as a Cooper pair formed by two nearby fermionic spin-polarons. Our model and the predicted PDW phase can be experimentally realized by doping S=1 chains formed by Ni${}^{2+}$ in a solid state system or a two-leg ladder of fermionic cold atoms with a potential bias between legs, which preferentially dopes carriers into a single leg.

arXiv comment5+19 pages; 4+16 figures

References in corpus (26)

• Entanglement spectrum of a topological phase in one dimension
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• The Physics of Pair Density Waves
• Observation of fractional edge excitations in nanographene spin chains
• Double-exchange model: phase separation versus canted spins
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Exploration of doped quantum magnets with ultracold atoms
• Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Type II $t-J$ model in superconducting nickelate Nd${}_{1-x}$Sr${}_x$NiO${}_2$
• String order and adiabatic continuity of Haldane chains and band insulators
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFe${}_2$S${}_3$: combined ab initio and density matrix renormalization group study
• From one-dimensional charge conserving superconductors to the gapless Haldane phase
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
• Topological Pair-Density-Wave Superconducting States
• Fractionalized Fermi Liquid in a Kondo-Heisenberg Model
• Emergence of Superconductivity in Doped Multiorbital Hubbard Chains
• Hubbard model for spin-1 Haldane chains
• Superconductor-Metal Transition in Odd-Frequency Paired Superconductor in Magnetic Field
• Topology and the one-dimensional Kondo-Heisenberg model
• Fractional Fermi liquid in a generalized $t-J$ model
• Topological Superconductivity in Doped Symmetry Protected Topological State

Cited by in corpus (13)

• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain
• Terminable Transitions in a Topological Fermionic Ladder
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Numerical signatures of ultra-local criticality in a one dimensional Kondo lattice model
• Instability of the Haldane Phase: Roles of Charge Fluctuations and Hund's Coupling
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Evidence for valence-bond pairing in a one-dimensional two-orbital system
• Spin-triplet pair density wave superconductors