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)

References in corpus (9)

• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• A superconducting praseodymium nickelate with infinite layer structure
• Spin resonance in the d-wave superconductor CeCoIn5
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Nature of the spin resonance mode in CeCoIn${}_5$
• Spin susceptibility in bilayered cuprates: resonant magnetic excitations

Cited by in corpus (1)

• Recent progress in nickelate superconductors