t-J model on the effective brick-wall lattice for the recently discovered high-temperature superconductor Ba${}_2$CuO${}_{3+\delta }$

Abstract

Layered copper oxides have highest superconducting transition temperatures at ambient pressure. Its mechanism remains a grand challenge in condensed matter physics. The essential physics lying in 2-dimensional copper-oxygen layers is well described by a single band Hubbard model or its strong coupling limit t-J model in 2-dimensional square lattice. Recently discovered high temperature superconductor Ba${}_2$CuO${}_{3+\delta }$ with $\delta \sim 0.2$ has different crystal structure with large portion of in-plane oxygen vacancies. We observe that an oxygen vacancy breaks the bond of its two neighboring copper atoms, and propose ordered vacancies in Ba${}_2$CuO${}_{3+\delta }$ lead to extended t-J model on an effective brick-wall lattice. For the nearest neighbor hopping, the brick-wall model can be mapped onto t-J model on honeycomb lattice. Our theory explains the superconductivity of Ba${}_2$CuO${}_{3+\delta }$ at high charge carrier density, and predict a time reversal symmetry broken pairing state.

arXiv commentto be published in PRB Rapid communications, 5 pages, 5 figures

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• Electronic correlation-driven orbital polarization transitions in the orbital-selective Mott compound Ba${}_2$CuO${}_{4-\delta }$
• Hidden, one-dimensional, strongly nested, and almost half-filled Fermi surface in Ba${}_2$CuO${}_{3+y}$ superconductors
• Two-band Conduction and Nesting Instabilities in Superconducting Ba${}_2$CuO${}_{3+\delta }$: a First Principles Study
• Crystalline and magnetic structure of Ba2CuO3+δ investigated by x-ray absorption spectroscopy and resonant inelastic x-ray scattering
• Magnon Hall effect in antiferromagnetic lattices
• Band crossover and magnetic phase diagram of high-Tc superconducting compound Ba2CuO4-δ
• Nodeless $s$-Wave Superconducting Phases in Cuprates with Ba${}_2$CuO${}_3$-Type Structure