Theory of magnetic excitations in multilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$

Abstract

Motivated by the recent reports of high-$T_c$ superconductivity in La${}_3$Ni${}_2$O${}_7$ under pressure, we analyzed theoretically the magnetic excitations in the normal and the superconducting state in this compound, which can be measured by inelastic neutron scattering or RIXS. We show that the bilayer structure of the spin response allows to elucidate the role of the interlayer interaction and the nature of the Cooper-pairing in a very efficient way. In particular, we demonstrate the key difference between the potential $s_{\pm }$ and $d$-wave gaps, proposed recently, by comparing the corresponding response in the even and odd channels of the spin susceptibility. We show that the mostly interlayer driven bonding-antibonding $s_{\pm }$ Cooper-pairing produces a single large spin resonance peak in the odd channel only near the $X$ point whereas spin resonances in both the odd and the even channel are predicted for the $d$-wave scenario.

8 pages, 3 figures, Supplemental Material (4 pages, 3 figures)

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Cited by in corpus (36)

• Pressure-enhanced splitting of density wave transitions in La${}_3$Ni${}_2$O${}_{7-\delta }$
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Electronic instability, layer selectivity and Fermi arcs in La${}_3$Ni${}_2$O${}_7$
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Recent progress in nickelate superconductors
• Magnetic phase diagram of a two-orbital model for bilayer nickelates varying doping
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Superconducting gap structure and bosonic mode in La2PrNi2O7 thin films at ambient pressure
• Intertwined charge and spin instability of La${}_3$Ni${}_2$O${}_7$
• Interlayer interactions in ${\text{La}}_3{\text{Ni}}_2{\text{O}}_7$ under pressure: from $s^{\pm }$ to $d_{xy}$-wave superconductivity
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• 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
• Superconductivity governed by Janus-faced fermiology in strained bilayer nickelates
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• Pressure Effect on the Spin Density Wave Transition in La${}_2$PrNi${}_2$O${}_{6.96}$
• Enhanced superconductivity in the compressively strained bilayer nickelate thin films by pressure
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
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• Theory of potential impurity scattering in pressurized superconducting La${}_3$Ni${}_2$O${}_7$
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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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• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Incommensurate spin fluctuations and competing pairing symmetries in La${}_3$Ni${}_2$O${}_7$
• Theoretical study of the electronic correlation and superconducting pairing in La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ film grown on SrLaAlO${}_4$
• Impact of multiband effects on non-Fermi-liquid transport phenomena in bilayer nickelates
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