Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$

Abstract

Trilayer Ruddlesden-Popper nickelate superconductor ${\mathrm{La}}_4{\mathrm{Ni}}_3{\mathrm{O}}_{10}$ has generated considerable interest due to its unconventional superconductivity and complex electronic structure. Notably, ${\mathrm{La}}_4{\mathrm{Ni}}_3{\mathrm{O}}_{10}$ features a mixed Ni valence state and an asymmetric trilayer configuration, leading to distinct quasiparticle distributions and local density of states (LDOS) between the inner and outer NiO${}_2$ planes. In this work, we investigate impurity-induced states in ${\mathrm{La}}_4{\mathrm{Ni}}_3{\mathrm{O}}_{10}$ using a two-orbital model combined with $T$-matrix formalism, focusing on the contrasting roles of intra- and interlayer pairing channels. Our self-consistent mean-field analysis reveals that interlayer pairing results in partially gapless Fermi surfaces, with unpaired quasiparticles concentrated in the outer layers and a pronounced low-energy LDOS. We demonstrate that impurity effects vary significantly depending on both the pairing symmetry and impurity location: interlayer-dominant pairing produces sharp resonance states when impurities are in the inner layer, whereas impurities in the outer layer lead to in-gap enhancements without sharp resonances; in contrast, intralayer-dominant pairing generally yields increased in-gap LDOS without sharp impurity resonances, regardless of impurity position. These findings suggest that single-impurity spectroscopy can serve as a powerful probe to distinguish between competing superconducting pairing mechanisms in trilayer nickelates and highlight the rich physics arising from their multilayer structure.

12 pages, 9 figures, including the supplementary file

References in corpus (44)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Superconductivity in pressurized trilayer La${}_4$Ni${}_3$O${}_{10-\delta }$ single crystals
• The s${}^{\pm }$-Wave Pairing and the Destructive Role of Apical-Oxygen Deficiencies in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Possible high $T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure through Manifestation of a Nearly-Half-Filled Bilayer Hubbard Model
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Bilayer $t$-$J$-$J_{\perp }$ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La${}_3$Ni${}_2$O${}_7$
• Signature of superconductivity in pressurized La${}_4$Ni${}_3$O${}_{10}$
• Theoretical analysis on the possibility of superconductivity in a trilayer Ruddlesden-Popper nickelate La${}_4$Ni${}_3$O${}_{10}$ under pressure and its experimental examination: comparison with La${}_3$Ni${}_2$O${}_7$
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Flat bands promoted by Hund's rule coupling in the candidate double-layer high-temperature superconductor La${}_3$Ni${}_2$O${}_7$
• Charge Transfer and Zhang-Rice Singlet Bands in the Nickelate Superconductor $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ under Pressure
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Normal and superconducting properties of La${}_3$Ni${}_2$O${}_7$
• High-T${}_C$ superconductivity in $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ based on the bilayer two-orbital t-J model
• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Superconductivity in trilayer nickelate La4Ni3O10 under pressure
• Effective model and pairing tendency in bilayer Ni-based superconductor La${}_3$Ni${}_2$O${}_7$
• Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$
• Universal impurity-induced bound state in topological superfluids
• Strong Pairing Originated from an Emergent ${\mathbb{Z}}_2$ Berry Phase in La${}_3$Ni${}_2$O${}_7$
• 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 $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Non-Fermi Liquid and Hund Correlation in La${}_4$Ni${}_3$O${}_{10}$ under High Pressure
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Electronic structure and magnetic tendencies of trilayer La${}_4$Ni${}_3$O${}_{10}$ under pressure: structural transition, molecular orbitals, and layer differentiation
• Unconventional superconductivity protected from disorder on the kagome lattice
• Magnetism and superconductivity in the $t-J$ model of $L{a}_{3}N{i}_2{O}_7$ under multiband Gutzwiller approximation
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Electronic structure and magnetic correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Effective model and electron correlations in trilayer nickelate superconductor La${}_4$Ni${}_3$O${}_{10}$
• Quasiparticle states around a nonmagnetic impurity in electron-doped iron-based superconductors with spin-density-wave order
• Non-magnetic impurity effects in a three-dimensional topological superconductor: From p- to s-wave behaviors
• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Local impurity effects in superconducting graphene
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ 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${}_7$
• Effective perpendicular electric field as a probe for interlayer pairing in ambient-pressure superconducting La${}_{2.85}$Pr${}_{0.15}$Ni${}_2$O${}_7$ thin films
• Superconductivity in La${}_4$Ni${}_3$O${}_{10}$ Under Pressure
• Probing the pairing symmetry in kagome superconductors based on the single-particle spectrum
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• In-gap bound states induced by a single nonmagnetic impurity in sign-preserving s-wave superconductors with incipient bands
• Probing Sign-Changing Order Parameters via Impurity States in unconventional superconductors: Implications for La${}_3$Ni${}_2$O${}_7$ Superconductors with interlayer pairing