Non-Fermi Liquid and Hund Correlation in La${}_4$Ni${}_3$O${}_{10}$ under High Pressure

Abstract

High temperature superconductivity was recently found in the bilayer nickelate ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$ (La327), followed by the discovery of superconductivity in the trilayer ${\mathrm{La}}_4{\mathrm{Ni}}_3{\mathrm{O}}_{10}$ (La4310), under high pressure. Through studying the electronic correlation of La4310 with DFT+DMFT, and further comparing it with that of La327, we find that the $e_g$ orbitals of the outer-layer Ni cations in La4310 have a similar (but slightly weaker) electronic correlation to those in La327, in which the electrons behave as a non-Fermi liquid with Hund correlation and linear-in-temperature scattering rate. Our results suggest that the experimentally observed ``strange metal'' behavior may be explained by the Hund spin correlation featuring high spin states and spin-orbital separation. In contrast, the electrons in the inner-layer Ni cations in La4310 behave as a Fermi liquid. The weaker electronic correlation in La4310 is attributed to more hole-doping, which may explain its lower superconducting transition temperature.

6 pages, 4 figures

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Cited by in corpus (34)

• Superconductivity in pressurized trilayer La${}_4$Ni${}_3$O${}_{10-\delta }$ single crystals
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Bulk superconductivity in pressurized trilayer nickelate Pr4Ni3O10 single crystals
• Band Structure and Pairing Nature of La${}_3$Ni${}_2$O${}_7$ Thin Film at Ambient Pressure
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Heavy-fermions in frustrated Hund's metal with portions of incipient flat-bands
• Non-Fermi liquid and antiferromagnetic correlations with hole doping in the bilayer two-orbital Hubbard model of La${}_3$Ni${}_2$O${}_7$ at zero temperature
• Electronic correlations, layer distinction, and electron doping in the alternating single-layer trilayer La${}_3$Ni${}_2$O${}_7$ polymorph
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Impact of Pressure and Apical Oxygen Vacancies on Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Dichotomy in Low- and High-energy Band Renormalizations in Trilayer Nickelate $L{a}_{4}N{i}_3{O}_{10}$: a Comparison with Cuprates
• DFT+DMFT study of correlated electronic structure in the monolayer-trilayer phase of La${}_3$Ni${}_2$O${}_7$
• Phase diagrams and two key factors to superconductivity of Ruddlesden-Popper nickelates
• $\text{Ab initio}$ dynamical mean-field theory with natural orbitals renormalization group impurity solver: Formalism and applications
• Theoretical study of the crystal structure of the bilayer nickel oxychloride Sr${}_3$Ni${}_2$O${}_5$Cl${}_2$ and analysis of possible unconventional superconductivity
• $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
• Magnetic Correlations and Pairing Tendencies of the Hybrid Stacking Nickelate Superlattice La${}_7$Ni${}_5$O${}_{17}$ (La${}_3$Ni${}_2$O${}_7$/La${}_4$Ni${}_3$O${}_{10}$) under Pressure
• Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under 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
• Origin of the Diagonal Double-Stripe Spin-Density-Wave and Potential Superconductivity in Bulk La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Numerical study of bi-layer two-orbital model for La${}_3$Ni${}_2$O${}_7$ on a plaquette ladder
• Electronic correlations and spin-charge-density stripes in double-layer La${}_3$Ni${}_2$O${}_7$
• Electronic layer decoupling driven by density-wave order in La${}_4$Ni${}_3$O${}_{10}$
• Unconventional Pressure Dependent Interorbital and Interlayer Doping in Superconducting Nickelates
• Pairing mechanism and superconductivity in 1313 phase La${}_3$Ni${}_2$O${}_7$
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
• Effect of doping on the electronic structure, orbital-dependent renormalizations, and magnetic correlations in bilayer La${}_3$Ni${}_2$O${}_7$
• Absence of two-orbital superconductivity in cuprate family: A DFT+DMFT perspective
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$