Bilayer $t$-$J$-$J_{\perp }$ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La${}_3$Ni${}_2$O${}_7$

Abstract

The recently discovered nickelate superconductor La${}_3$Ni${}_2$O${}_7$ has a high transition temperature near 80 K under pressure, which offers additional avenues of unconventional superconductivity. Here with state-of-the-art tensor-network methods, we study a bilayer $t$-$J$-$J_{\perp }$ model for La${}_3$Ni${}_2$O${}_7$ and find a robust $s$-wave superconductive (SC) order mediated by interlayer magnetic couplings. Large-scale density matrix renormalization group calculations find algebraic pairing correlations with Luttinger parameter of $K_{\mathrm{SC}}\simeq 1$. Infinite projected entangled-pair state method obtains a nonzero SC order directly in the thermodynamic limit, and estimates a strong pairing strength ${\bar{\Delta }}_z\sim \mathcal{O}(0.1)$. Tangent-space tensor renormalization group simulations further determine a high SC temperature $T_c^{\ast }/J\sim \mathcal{O}(0.1)$ and clarify the temperature evolution of SC order. Because of the intriguing orbital selective behaviors and strong Hund's rule coupling in the compound, $t$-$J$-$J_{\perp }$ model has strong interlayer spin exchange (while negligible interlayer hopping), which greatly enhances the SC pairing in the bilayer system. Such a magnetically mediated strong pairing has also been observed recently in the optical lattice of ultracold atoms. Our accurate and comprehensive tensor-network calculations reveal robust SC order in the bilayer $t$-$J$-$J_{\perp }$ model and shed light on the high-$T_c$ superconductivity in the pressurized nickelate La${}_3$Ni${}_2$O${}_7$.

5 + 6 pages, 4 + 8 figures

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Cited by in corpus (115)

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• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
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• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
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• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Neutron Scattering Studies on the High-$T_c$ Superconductor La${}_3$Ni${}_2$O${}_{7-\delta }$ at Ambient Pressure
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Pressure-enhanced spin-density-wave transition in double-layer nickelate $L{a}_{3}N{i}_2{O}_{7-\delta }$
• Structural transitions, octahedral rotations, and electronic properties of $A_3$Ni${}_2$O${}_7$ rare-earth nickelates under high pressure
• Multiband Metallic Ground State in Multilayered Nickelates La${}_3$Ni${}_2$O${}_7$ and La${}_4$Ni${}_3$O${}_{10}$ Probed by ${}^{139}$La-NMR at Ambient Pressure
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• Effect of Rare-earth Element Substitution in Superconducting R${}_3$Ni${}_2$O${}_7$ Under Pressure
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• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
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• Superconductivity in the Bilayer Two-orbital Hubbard Model
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• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
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• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
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