Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure

Abstract

The newly discovered high-temperature superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure has attracted a great deal of attentions. The essential ingredient characterizing the electronic properties is the bilayer NiO${}_2$ planes coupled by the interlayer bonding of $3d_{z^2}$ orbitals through the intermediate oxygen-atoms. In the strong coupling limit, the low energy physics is described by an intralayer antiferromagnetic spin-exchange interaction $J_{\parallel }$ between $3d_{x^2-y^2}$ orbitals and an interlayer one $J_{\perp }$ between $3d_{z^2}$ orbitals. Taking into account Hund's rule on each site and integrating out the $3d_{z^2}$ spin degree of freedom, the system reduces to a single-orbital bilayer $t$-$J$ model based on the $3d_{x^2-y^2}$ orbital. By employing the slave-boson approach, the self-consistent equations for the bonding and pairing order parameters are solved. Near the physically relevant $\frac{1}{4}$-filling regime (doping $\delta =0.3\sim 0.5$), the interlayer coupling $J_{\perp }$ tunes the conventional single-layer $d$-wave superconducting state to the $s$-wave one. A strong $J_{\perp }$ could enhance the inter-layer superconducting order, leading to a dramatically increased $T_c$. Interestingly, there could exist a finite regime in which an $s+id$ state emerges.

Version accepted by Phys. Rev. Lett

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Cited by in corpus (122)

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• The electronic and magnetic structures of bilayer La${}_3$Ni${}_2$O${}_7$ at ambient pressure
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• Density-wave-like gap evolution in La${}_3$Ni${}_2$O${}_7$ under high pressure revealed by ultrafast optical spectroscopy
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• Correlated electronic structures and unconventional superconductivity in bilayer nickelate heterostructures
• Resolving the Electronic Ground State of La3Ni2O7-δ Films
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• Cooperation between electron-phonon coupling and electronic interaction in bilayer nickelates La${}_3$Ni${}_2$O${}_7$
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• Superconductivity in the Bilayer Two-orbital Hubbard Model
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Recent progress in nickelate superconductors
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• DFT+DMFT study of correlated electronic structure in the monolayer-trilayer phase of La${}_3$Ni${}_2$O${}_7$
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