Probing Sign-Changing Order Parameters via Impurity States in unconventional superconductors: Implications for La${}_3$Ni${}_2$O${}_7$ Superconductors with interlayer pairing

Abstract

Motivated by the desire to investigate the fundamental relationship between impurity-induced states and the sign change of the superconducting order parameter, as well as to explore the impurity effects in Ruddlesden-Popper nickelate superconductors with interlayer pairing, we employ the $T$-matrix approach to study single impurity scattering in unconventional superconductors. Our work focuses on two distinct pairing scenarios: intralayer $d$-wave pairing and interlayer $s$-wave pairing. For systems with intralayer $d$-wave pairing, we establish an intrinsic connection between the $d$-wave pairing symmetry and the emergence of mid-gap resonant states. Through a combination of analytical derivations and numerical simulations, we demonstrate that the appearance of in-gap states is directly linked to the sign reversal of the order parameter along the Fermi surface. In interlayer pairing systems, our results reveal the presence of pronounced resonant peaks, which can also be attributed to the sign-changing nature of the order parameter. We further extend our analysis to the bilayer nickelate superconductor La${}_3$Ni${}_2$O${}_7$, providing a theoretical investigative of impurity effects in this material. Our findings not only elucidate the complex interplay between pairing symmetries and impurity-induced states in unconventional superconductors but also offer a powerful tool for probing the pairing mechanisms in nickelate-based high-temperature superconductors. This work lays the groundwork for future experimental and theoretical investigations into the unique electronic properties of these emerging materials.

12 pages, 7 figures

References in corpus (43)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Ambient-pressure superconductivity onset above 40 K in bilayer nickelate ultrathin films
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Superfluid density of the $\pm$s-wave state for the iron-based superconductors
• Resonant impurity scattering in the $\pm$s-gap state of the Fe-based superconductors
• Electronic and magnetic excitations in La${}_3$Ni${}_2$O${}_7$
• Impurity in a d-wave superconductor: Kondo effect and STM spectra
• Normal and superconducting properties of La${}_3$Ni${}_2$O${}_7$
• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Neutron Scattering Studies on the High-$T_c$ Superconductor La${}_3$Ni${}_2$O${}_{7-\delta }$ at Ambient Pressure
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Nonmagnetic Impurity Resonances as a Signature of Sign-Reversal Pairing in the FeAs-based Superconductors
• Impurity-induced bound states in iron-based superconductors with s-wave cos(kx)cos(ky) pairing symmetry
• Universal impurity-induced bound state in topological superfluids
• Magnetic impurity resonance states and symmetry of the superconducting order parameter in iron-based superconductors
• Orbital-selective Superconductivity in the Pressurized Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$: An Infinite Projected Entangled-Pair State Study
• Impurity Effects on the A_1-A_2 Splitting of Superfluid 3He in Aerogel
• Impurity states and cooperative magnetic order in Fe-based superconductors
• Two impurities in a d-wave superconductor:local density of states
• Multiple scattering theory for superconducting heterostructures
• 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
• Andreev states near short-ranged pairing potential impurities
• Gap Anisotropy in Multiband Superconductors Based on Multiple Scattering Theory
• 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
• Theoretical study of impurity-induced magnetism in FeSe
• Impurity-induced quasiparticle interference in the parent compounds of iron-pnictide superconductors
• Single Impurity Effects in Multiband Superconductors with Different Sign Order Parameters
• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Local impurity effects in superconducting graphene
• Relativistic first principles theory of Yu--Shiba--Rusinov states applied to an Mn adatom and Mn dimers on Nb(110)
• Hidden sign-changing $s$-wave superconductivity in monolayer FeSe
• Impurity- and Magnetic-field-induced Quasiparticle States in Chiral $p$-wave Superconductors
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Probing the pairing symmetry in kagome superconductors based on the single-particle spectrum
• Probing active/passive bands by quasiparticle interference in Sr${}_2$RuO${}_4$
• Spin excitations in bilayer La${}_3$Ni${}_2$O${}_7$ superconductors with the interlayer pairing
• Quasiparticle interference and resonant states in normal and superconducting line nodal semimetals
• In-gap bound states induced by a single nonmagnetic impurity in sign-preserving s-wave superconductors with incipient bands

Cited by in corpus (2)

• Layer-Resolved Impurity States Reveal Competing Pairing Mechanisms in Trilayer Nickelate Superconductor La${}_4$Ni${}_3$O${}_{10}$
• Sublattice polarization and filamentary superconductivity in strained graphene