Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$

Abstract

We perform a theoretical examination of the local electronic structure in the recently discovered bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$. Our method begins with a bilayer two-orbital tight-binding model, incorporating various pairing interaction channels. We determine superconducting order parameters by self-consistently solving the real-space Bogoliubov-de Gennes (BdG) equations, revealing a robust and stable extended s-wave pairing symmetry. We investigate the single impurity effect using both self-consistent BdG equations and non-self-consistent T-matrix methods, uncovering low-energy in-gap states that can be explained with the T-matrix approach. Additionally, we analyze magnetic vortex states using a self-consistent BdG technique, which shows a peak-hump structure in the local density of states at the vortex center. Our results provide identifiable features that can be used to determine the pairing symmetry of the superconducting ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$ material.

8 pages. 8 figures. including the Supplemental material

References in corpus (12)

• Scanning tunneling spectroscopy of high-temperature superconductors
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• Evidence for charge and spin order in single crystals of La${}_3$Ni${}_2$O${}_7$ and La${}_3$Ni${}_2$O${}_6$
• High-$T_c$ superconductivity by mobilizing local spin singlets and possible route to higher $T_c$ in pressurized La${}_3$Ni${}_2$O${}_7$
• Correlated electronic structure, orbital-selective behavior, and magnetic correlations in double-layer La${}_3$Ni${}_2$O${}_7$ under pressure
• Trends in electronic structures and $s_{\pm }$-wave pairing for the rare-earth series in bilayer nickelate superconductor $R_3$Ni${}_2$O${}_7$
• Quasiparticle states around a nonmagnetic impurity in electron-doped iron-based superconductors with spin-density-wave order
• Vortex state in iron-based superconductors with collinear antiferromagnetic cores
• Diagnosis of pairing symmetry by vortex and edge spectra in kagome superconductors
• Electronic structure and spin-lattice relaxation in superconducting vortex states on the kagome lattice near van Hove filling

Cited by in corpus (59)

• Orbital-Dependent Electron Correlation in Double-Layer Nickelate La3Ni2O7
• 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${}_7$
• Correlation Effects and Concomitant Two-Orbital $s_{\pm }$-Wave Superconductivity in La${}_3$Ni${}_2$O${}_7$ under High Pressure
• Pressure Driven Fractionalization of Ionic Spins Results in Cupratelike High-$T_c$ Superconductivity in La${}_3$Ni${}_2$O${}_7$
• Superconductivity in nickelate and cuprate superconductors with strong bilayer coupling
• Structural transition, electric transport, and electronic structures in the compressed trilayer nickelate La4Ni3O10
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Effective model and $s_{\pm }$-wave superconductivity in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$
• Prediction of $s^{\pm }$-wave superconductivity enhanced by electronic doping in trilayer nickelates La${}_4$Ni${}_3$O${}_{10}$ under pressure
• Theory of magnetic excitations in multilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• Electronic structure, magnetic correlations, and superconducting pairing in the reduced Ruddlesden-Popper bilayer La${}_3$Ni${}_2$O${}_6$ under pressure: different role of $d_{3z^2-r^2}$ orbital compared with La${}_3$Ni${}_2$O${}_7$
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Effect of Rare-earth Element Substitution in Superconducting R${}_3$Ni${}_2$O${}_7$ Under Pressure
• Electronic structure and magnetic tendencies of trilayer La${}_4$Ni${}_3$O${}_{10}$ under pressure: structural transition, molecular orbitals, and layer differentiation
• Optical properties and electronic correlations in La${}_3$Ni${}_2$O${}_7$ bilayer nickelates under high pressure
• Antiferromagnetic Ground State, Charge Density Waves and Oxygen Vacancies Induced Metal-Insulator Transition in Pressurized La${}_3$Ni${}_2$O${}_7$
• Resolving the Electronic Ground State of La3Ni2O7-δ Films
• The $s^{\pm }$-Wave Superconductivity in the Pressurized La${}_4$Ni${}_3$O${}_{10}$
• Electronic structure, self-doping, and superconducting instability in the alternating single-layer trilayer stacking nickelates La${}_3$Ni${}_2$O${}_7$
• Origin of the density wave instability in trilayer nickelate La${}_4$Ni${}_3$O${}_{10}$ revealed by optical and ultrafast spectroscopy
• Assessing the formation of spin and charge stripes in La${}_3$Ni${}_2$O${}_7$ from first-principles
• Modulation of the Octahedral Structure and Potential Superconductivity of La${}_3$Ni${}_2$O${}_7$ through Strain Engineering
• 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
• 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${}_7$
• Interlayer Pairing Induced Partially Gapped Fermi Surface in Trilayer La${}_4$Ni${}_3$O${}_{10}$ Superconductors
• Hund's Rule, Interorbital Hybridization, and High-$T_c$ Superconductivity in the Bilayer Nickelate
• 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
• Spin-density wave and superconductivity in La${}_4$Ni${}_3$O${}_{10}$ under ambient pressure
• Electronic structures and multi-orbital models of La${}_3$Ni${}_2$O${}_7$ thin films at ambient pressure
• 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
• Highly asymmetric superconducting dome and strange metallicity in La${}_3$Ni${}_2$O${}_7$
• Intertwined charge and spin instability of La${}_3$Ni${}_2$O${}_7$
• First-principles study on Pr-doped Bilayer Nickelate La3Ni2O7
• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Doping evolution of the normal state magnetic excitations in pressurized La3Ni2O7
• Strain-Engineered Electronic Structure and Superconductivity in La${}_3$Ni${}_2$O${}_7$ Thin Films
• 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
• Superconductivity governed by Janus-faced fermiology in strained bilayer nickelates
• 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
• Unifying Strain-driven and Pressure-driven Superconductivity in La${}_3$Ni${}_2$O${}_7$: Suppressed charge/spin density waves and enhanced interlayer coupling
• Theory of potential impurity scattering in pressurized superconducting La${}_3$Ni${}_2$O${}_7$
• General trends of electronic structures, superconducting pairing, and magnetic correlations in the Ruddlesden-Popper nickelate $m$-layered superconductors La${}_{m+1}$Ni${}_m$O${}_{3m+1}$
• Variational Quantum Monte Carlo investigations of the superconducting pairing in La${}_3$Ni${}_2$O${}_7$
• Fermi surface reconstruction and enhanced spin fluctuations in strained La${}_3$Ni${}_2$O${}_7$ on LaAlO${}_3$(001) and SrTiO${}_3$(001)
• Electronic reconstruction and interface engineering of emergent spin fluctuations in compressively strained La${}_3$Ni${}_2$O${}_7$ on SrLaAlO${}_4$(001)
• Correlation Effects in a Simplified Bilayer Two-Orbital Hubbard Model at Half Filling
• Robust $s_{\pm }$-wave pairing in a bilayer two-orbital model of pressurized La${}_3$Ni${}_2$O${}_7$ without the $\gamma$ Fermi surface
• Superexchanges and Charge Transfer in the La${}_3$Ni${}_2$O${}_7$ Thin Films
• Pairing mechanism and superconductivity in pressurized La${}_5$Ni${}_3$O${}_{11}$
• Probing Sign-Changing Order Parameters via Impurity States in unconventional superconductors: Implications for La${}_3$Ni${}_2$O${}_7$ Superconductors with interlayer pairing
• Orbital-selective electron correlations in high-$T_{\mathrm{c}}$ bilayer nickelates: from a global phase diagram to implications for spectroscopy
• Compressive Strain Turns $s^{\pm }$ into $d$-Wave Pairing in One-unit-cell La${}_3$Ni${}_2$O${}_7$ Thin Film Via Substrate-Induced Hole Doping
• The $s\pm$ pairing symmetry in the pressured La${}_3$Ni${}_2$O${}_7$ from electron-phonon coupling
• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$