High-T${}_C$ superconductivity in $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ based on the bilayer two-orbital t-J model

Abstract

The recently discovered high-T${}_C$ superconductor La${}_3$Ni${}_2$O${}_7$ has sparked renewed interest in the unconventional superconductivity. Here we study superconductivity in pressurized La${}_3$Ni${}_2$O${}_7$ based on a bilayer two-orbital $t-J$ model, using the renormalized mean-field theory. Our results reveal a robust $s^{\pm }-$wave pairing driven by the inter-layer $d_{z^2}$ magnetic coupling, which exhibits a transition temperature within the same order of magnitude as the experimentally observed $T_c\sim 80$ K. We establish a comprehensive superconducting phase diagram in the doping plane. Notably, the La${}_3$Ni${}_2$O${}_7$ under pressure is found situated roughly in the optimal doping regime of the phase diagram. When the $d_{x^2-y^2}$ orbital becomes close to half-filling, $d-$wave and $d+is$ pairing can emerge from the system. We discuss the interplay between Fermi surface topology and different pairing symmetries. The stability of the $s^{\pm }-$wave pairing against Hund's coupling and other magnetic exchange couplings is discussed.

9 pages, 6 figures

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• Superconductivity in the Bilayer Two-orbital Hubbard Model
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• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Recent progress in nickelate superconductors
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Modulation of the Octahedral Structure and Potential Superconductivity of La${}_3$Ni${}_2$O${}_7$ through Strain Engineering
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
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• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
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• Growth and characterization of the La${}_3$Ni${}_2$O${}_{7-\delta }$ thin films: dominant contribution of the $d_{x^2-y^2}$ orbital at ambient pressure
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• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
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• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
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• Possible Fano effect and suppression of Andreev reflection in La${}_3$Ni${}_2$O${}_7$
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Charge distribution and magnetism in bilayer La${}_3$Ni${}_2$O${}_7$: a hybrid functional study
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• Weak coupling theory of nickel-based 327 superconductors
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