Tunneling processes into localized subgap states in superconductors

Abstract

We combine scanning-tunneling-spectroscopy experiments probing magnetic impurities on a superconducting surface with a theoretical analysis of the tunneling processes between (superconducting) tip and substrate. We show that the current is carried by single-electron tunneling at large tip-substrate distances and Andreev reflections at smaller distances. The single-electron current requires relaxation processes between the impurity-induced Shiba bound state and the quasiparticle continuum, allowing us to extract information on such relaxation processes from our analysis.

4+ pages, 3 figures; supplementary material: 18 pages, 9 figures

References in corpus (6)

• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Protection of excited spin states by a superconducting energy gap
• Experimental demonstration of a two-band superconducting state for lead using scanning tunneling spectroscopy
• Magnetic anisotropy effects on quantum impurities in superconducting host
• Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
• Phase diagram and excitations of a Shiba molecule

Cited by in corpus (121)

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• High-resolution studies of the Majorana atomic chain platform
• Long range coherent magnetic bound states in superconductors
• Single magnetic adsorbates on s-wave superconductors
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• Magnetic anisotropy in Shiba bound states across a quantum phase transition
• Diode effect in Josephson junctions with a single magnetic atom
• Tuning the coupling of an individual magnetic impurity to a superconductor: quantum phase transition and transport
• Orbital Picture of Yu-Shiba-Rusinov Multiplets
• Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe${}_2$
• Mapping the orbital structure of impurity bound states in a superconductor
• Controlled length-dependent interaction of Majorana modes in Yu-Shiba-Rusinov chains
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Probing magnetic interactions between Cr adatoms on the $\beta$-Bi${}_2$Pd superconductor
• Yu-Shiba-Rusinov screening of spins in double quantum dots
• Spin-polarized Yu-Shiba-Rusinov states in an iron based superconductor
• Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers
• Yu-Shiba-Rusinov states in phase-biased S-QD-S junctions
• Scanning Josephson spectroscopy on the atomic scale
• Atomic-scale spin-polarization maps using functionalized superconducting probes
• Yu-Shiba-Rusinov states in the charge-density modulated superconductor NbSe2
• Tunneling dynamics between superconducting bound states at the atomic limit
• Majorana Fermions in Magnetic Chains
• Magnetic-Related States and Order Parameter Induced in a Conventional Superconductor by Nonmagnetic Chiral Molecules
• Proximity-induced Shiba states in a molecular junction
• Robust Majorana conductance peaks for a superconducting lead
• Yu-Shiba-Rusinov states in real metals
• Two-Impurity Yu-Shiba-Rusinov States in Coupled Quantum Dots
• Interfering tunneling paths through magnetic molecules on superconductors: Asymmetries of Kondo and Yu-Shiba-Rusinov resonances
• Photon-assisted tunneling at the atomic scale: Probing resonant Andreev reflections from Yu-Shiba-Rusinov states
• Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
• Electron and Cooper pair transport across a single magnetic molecule explored with a scanning tunneling microscope
• Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
• Spatially dispersing Yu-Shiba-Rusinov states in the unconventional superconductor ${\mathrm{FeTe}}_{0.55}{\mathrm{Se}}_{0.45}$
• Imaging anyons with scanning tunneling microscopy
• Mirage Andreev spectra generated by mesoscopic leads in nanowire quantum dots
• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
• Interplay Between Yu-Shiba-Rusinov States and Multiple Andreev Reflections
• Correlating Josephson supercurrents and Shiba states in quantum spins unconventionally coupled to superconductors
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
• Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor
• Photon-assisted resonant Andreev reflections: Yu-Shiba-Rusinov and Majorana states
• Defect-induced magnetism and Yu-Shiba-Rusinov states in twisted bilayer graphene
• Spectral properties of Shiba sub-gap states at finite temperatures
• Surrogate model solver for impurity-induced superconducting subgap states
• Robustness of Yu-Shiba-Rusinov resonances in presence of a complex superconducting order parameter
• Coherent and incoherent tunneling into YSR states revealed by atomic scale shot-noise spectroscopy
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Tunneling processes between Yu-Shiba-Rusinov bound states
• Resonance-enhanced vibrational spectroscopy of molecules on a superconductor
• Magnetic impurities in spin-split superconductors
• Relativistic first principles theory of Yu--Shiba--Rusinov states applied to an Mn adatom and Mn dimers on Nb(110)
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Direct Transport between Superconducting Subgap States in a Double Quantum Dot
• Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
• Unconventional Yu-Shiba-Rusinov states in hydrogenated graphene
• Majorana quasiparticles in atomic spin chains on superconductors
• Yu-Shiba-Rusinov bound states induced by a spin flipper in the vicinity of a s-wave superconductor
• Nanoscale Control of Quantum States in Radical Molecules on Superconducting Pb(111)
• Single-electron charge transfer into putative Majorana and trivial modes in individual vortices
• Andreev Reflection in Scanning Tunneling Spectroscopy of Unconventional Superconductors
• Magnetic-Field-Induced Transition in a Quantum Dot Coupled to a Superconductor
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• Analytic approach to transport in superconducting junctions with arbitrary carrier density
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Single- and many-particle description of scanning tunneling spectroscopy
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
• Spectral Properties and Quantum Phase Transitions in Superconducting Junctions with a Ferromagnetic Link
• Universal scaling of tunable Yu-Shiba-Rusinov states across the quantum phase transition
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• Temperature Induced Shifts of Yu-Shiba-Rusinov Resonances in Nanowire-Based Hybrid Quantum Dots
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• Boosting the STM's spatial and energy resolution with double-functionalized probe tips
• Tracking a Spin-Polarized Superconducting Bound State across a Quantum Phase Transition
• Probing Hybridization of a Single Energy Level Coupled to Superconducting Leads
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Probing and dressing magnetic impurities in a superconductor
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• Electron-boson-interaction induced particle-hole symmetry breaking of conductance into subgap states in superconductors
• Time-resolved statistics of photon pairs in two-cavity Josephson photonics
• Diamagnetic property and optical absorption in conventional superconductors with magnetic impurities
• Identifying Majorana vortex modes via non-local transport
• Nonequilibrium Fractional Josephson Effect
• Microwave Excitation of Atomic Scale Superconducting Bound States
• Magnetic bound states embedded in tantalum superconducting thin films
• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
• Shiba states in systems with density of states singularities
• Self-assembly of tetracyanonaphtho-quinodimethane (TNAP) based metal-organic networks on Pb(111): Structural, electronic, and magnetic properties
• Tunneling spectra of impurity states in unconventional superconductors
• Spin-polarized currents and noise in NS junctions with Yu-Shiba-Rusinov impurities
• High-Resolution Spectroscopy of the Intermediate Impurity States near a Quantum Phase Transition
• Moiré dispersion of edge states in spin chains on superconductors
• Influence of Rashba spin-orbit coupling on the 0-$\pi$ transition and Kondo temperature in 1D superconductors
• Control of Andreev Reflection via a Single-Molecule Orbital
• Spatially Dependent in-Gap States Induced by Andreev Tunneling through a Single Electronic State
• Topological superconductivity in proximity to type-II superconductors
• RKKY interaction at helical edges of topological superconductors
• Spectral properties of superconductors with ferromagnetically ordered magnetic impurities
• Superconducting quantum dot and the sub-gap states
• Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states
• Anisotropy and spin-fluctuation effects on the spectral properties of Shiba impurities
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Spectral properties of fractionalized Shiba states
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• Characterizing local Majorana properties using Andreev states
• Interplay between pairing and correlations in spin-polarized bound states
• Kondo Effect in a Spin-3/2 Fermi Gas
• Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography
• Yu-Shiba-Rusinov bound states boost odd-frequency superconductivity
• A Large-$N$ Approach to Magnetic Impurities in Superconductors
• Single-enantiomer spin polarisers in superconducting junctions
• Direct observation of intrinsic surface magnetic disorder in amorphous superconducting films
• Fermi-Level Pinning of Yu-Shiba-Rusinov States in a Superconductor with Weakly Broken Spin-Rotational Invariance
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Enhanced negative nonlocal conductance in an interacting quantum dot connected to two ferromagnetic leads and one superconducting lead
• Detecting and Distinguishing Majorana Zero Modes with the Scanning Tunneling Microscope
• Spin-dependent tunneling between individual superconducting bound states
• Non-Topological Edge-Localized Yu-Shiba-Rusinov States in CrBr${}_3$/NbSe${}_2$ Heterostructures
• A minimal model of inelastic tunneling of vibrating magnetic molecules on superconducting substrates