Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain

Abstract

In quantum materials, the electronic interaction and the electron-phonon coupling are, in general, two essential ingredients, the combined impact of which may drive exotic phases. Recently, an anomalously strong electron-electron attraction, mediated by phonons, has been unveiled in one-dimensional copper-oxide chain Ba${}_{2-x}$Sr${}_x$CuO${}_{3+\delta }$. Yet, it is unclear how this strong near-neighbor attraction $V$ influences the superconductivity pairing in the compound. Here we perform accurate many-body calculations to study the extended Hubbard model with on-site Coulomb repulsion $U>0$ and attraction $V<0$ that well describes the cuprate chain and likely other similar transition-metal materials with both strong correlations and lattice effects. We find a rich quantum phase diagram containing an intriguing Tomonaga-Luttinger liquid phase -- besides the spin density wave and various phase separation phases -- that can host dominant spin-triplet pairing correlations and divergent superconductive susceptibility. Upon doping, the spin-triplet superconducting regime can be further broadened in the parameter space and extends to larger $U$, offering a feasible mechanism to realize $p$-wave superconductivity in realistic cuprate chains.

arXiv comment8+9 pages, 6+9 figures

References in corpus (51)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological superconductors: a review
• Real time evolution using the density matrix renormalization group
• One-Dimensional Fermi liquids
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Dynamical density-matrix renormalization-group method
• The remarkable underlying ground states of cuprate superconductors
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• Tricritical Behavior in the Extended Hubbard Chains
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Robustness of Majorana fermions in 2D topological superconductors
• Local quantum criticality in confined fermions on optical lattices
• Ferromagnetism and electron-phonon coupling in the manganites
• Spectral function of the one-dimensional Hubbard model away from half filling
• Anomalously Strong Near-Neighbor Attraction in Doped 1D Cuprate Chains
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Phase diagram of the one-dimensional extended Hubbard model at quarter filling
• Ground state phases of the Half-Filled One-Dimensional Extended Hubbard Model
• Phase Diagram of One-Dimensional Extended Hubbard Model at Half Filling
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Spectral properties of the one-dimensional Hubbard model
• X-Symbols for Non-Abelian Symmetries in Tensor Networks
• Resilience of d-wave superconductivity to nearest-neighbor repulsion
• Ground-State Phase Diagram of the 1D t-J model
• Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
• Doublon dynamics in the extended Fermi Hubbard model
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Charge order and antiferromagnetism in the extended Hubbard model
• Enhancing $d$-wave superconductivity with nearest-neighbor attraction of extended Hubbard model
• Particle-hole asymmetry in the dynamical spin and charge structure factors of the corner-shared one-dimensional cuprates
• Antiholons in one-dimensional t-J models
• A renormalization group analysis of the one-dimensional extended Hubbard model
• Fidelity Study of Superconductivity in Extended Hubbard Models
• Spectroscopic evidence for electron-boson coupling in electron-doped Sr${}_2$IrO${}_4$
• Wave packet dynamics in the one-dimensional extended Hubbard model
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Two-band Conduction and Nesting Instabilities in Superconducting Ba${}_2$CuO${}_{3+\delta }$: a First Principles Study

Cited by in corpus (20)

• Enhanced superconductivity by near-neighbor attraction in the doped Hubbard model
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Superconducting Phases of the Square-Lattice Extended Hubbard Model
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Robust superconducting correlation against inter-site interactions in the extended two-leg Hubbard ladder
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Two-particle bound states on a lattice
• Signatures of the Attractive Interaction in Spin Spectra of One-dimensional Cuprate Chains
• Effective one-band models for the 1D cuprate Ba${}_{2-x}$Sr${}_x$CuO${}_{3+\delta }$
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Stable pair liquid phase in fermionic systems
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• Spin and charge dynamics of doped one-dimensional Mott insulators
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Light Control of Triplet Pairing in Correlated Electrons with Mixed-Sign Interactions
• Polarization-Driven Charge Frustration and Emergent Phases in the One-Dimensional Extended Hubbard Model