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.

8+9 pages, 6+9 figures

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• 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
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• 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