Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$

Abstract

The recent experiment shows the superconducting transition temperature in the Ruddlesden-Popper bilayer La${}_3$Ni${}_2$O${}_7$ decreases monotonically with increasing pressure above 14 GPa. In order to unravel the underlying mechanism for this unusual dependence, we performed theoretical investigations by combining the density functional theory (DFT) and the unbiased functional renormalization group (FRG). Our DFT calculations show that the Fermi pockets are essentially unchanged with increasing pressure (above 14 GPa), but the bandwidth is enlarged, and particularly the interlayer hopping integral between the nickel $3d_{3z^2-r^2}$ orbitals is enhanced. From the DFT band structure, we construct the bilayer tight-binding model in terms of the nickel $3d_{3z^2-r^2}$ and $3d_{x^2-y^2}$ orbitals. On this basis, we investigate the superconductivity induced by correlation effects by FRG calculations. We find consistently $s_{\pm }$-wave pairing triggered by spin fluctuations, but the latter are weakened by pressure and lead to a decreasing transition temperature versus pressure, in qualitatively agreement with the experiment. We emphasize that the itinerancy of the $d$-orbitals is important and captured naturally in our FRG calculations, and we argue that the unusual pressure dependence would be unnatural, if not impossible, in the otherwise local-moment picture of the nickel $d$-orbitals. This sheds lights on the pertinent microscopic description of, and more importantly the mechanism of superconductivity in La${}_3$Ni${}_2$O${}_7$.

8 pages, 4 figures

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Cited by in corpus (26)

• Recent progress in nickelate superconductors
• Transition from $s_{\pm }$-wave to $d_{x^2-y^2}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$
• Superconducting gap structure and bosonic mode in La2PrNi2O7 thin films at ambient pressure
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• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Possible Liquid-Nitrogen-Temperature Superconductivity Driven by Perpendicular Electric Field in the Single-Bilayer Film of La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
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• Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure
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• Complex spin-density-wave ordering in La${}_4$Ni${}_3$O${}_{10}$
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• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
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• Unified mechanism of charge-density-wave and high-$T_c$ superconductivity protected from oxygen vacancies in bilayer nickelates
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