Single magnetic adsorbates on s-wave superconductors

Abstract

In superconductors, magnetic impurities induce a pair-breaking potential for Cooper pairs, which locally affects the Bogoliubov quasiparticles and gives rise to Yu-Shiba-Rusinov (YSR or Shiba, in short) bound states in the density of states (DoS). These states carry information on the magnetic coupling strength of the impurity with the superconductor, which determines the many-body ground state properties of the system. Recently, the interest in Shiba physics was boosted by the prediction of topological superconductivity and Majorana modes in magnetically coupled chains and arrays of Shiba impurities. Here, we review the physical insights obtained by scanning tunneling microscopy into single magnetic adsorbates on the $s$-wave superconductor lead (Pb). We explore the tunneling processes into Shiba states, show how magnetic anisotropy affects many-body excitations, and determine the crossing of the many-body groundstate through a quantum phase transition. Finally, we discuss the coupling of impurities into dimers and chains and their relation to Majorana physics.

18 pages, 17 figures, review

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Cited by in corpus (125)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
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• Evidence of topological Shiba bands in artificial spin chains on superconductors
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• Two-level systems in superconducting quantum devices due to trapped quasiparticles
• Monolayer 1T-NbSe2 as a 2D correlated magnetic insulator
• Observation of Coexistence of Yu-Shiba-Rusinov States and Spin-Flip Excitations
• Yu-Shiba-Rusinov screening of spins in double quantum dots
• Spin-polarized Yu-Shiba-Rusinov states in an iron based superconductor
• Atomic-scale spin-polarization maps using functionalized superconducting probes
• Majorana Fermions in Magnetic Chains
• Tunneling dynamics between superconducting bound states at the atomic limit
• Yu-Shiba-Rusinov states in real metals
• Electronic and Magnetic Characterization of Epitaxial VSe${}_2$ Monolayers on Superconducting NbSe${}_2$
• Coupled Yu-Shiba-Rusinov states induced by a many-body molecular spin on a superconductor
• Type-II quadrupole topological insulators
• A Two-Dimensional Metal-Organic Framework on Superconducting NbSe${}_2$
• Photon-assisted tunneling at the atomic scale: Probing resonant Andreev reflections from Yu-Shiba-Rusinov states
• Yu-Shiba-Rusinov qubit
• Proximity superconductivity in atom-by-atom crafted quantum dots
• Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
• Spatially dispersing Yu-Shiba-Rusinov states in the unconventional superconductor ${\mathrm{FeTe}}_{0.55}{\mathrm{Se}}_{0.45}$
• Topological superconductivity from magnetic impurities on monolayer NbSe${}_2$
• Correlating Josephson supercurrents and Shiba states in quantum spins unconventionally coupled to superconductors
• Interplay Between Yu-Shiba-Rusinov States and Multiple Andreev Reflections
• Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
• Even-odd effect and Majorana states in full-shell nanowires
• Photon-assisted resonant Andreev reflections: Yu-Shiba-Rusinov and Majorana states
• Coexistence of Antiferromagnetism and Superconductivity in Mn/Nb(110)
• Gap Anisotropy in Multiband Superconductors Based on Multiple Scattering Theory
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Large spatial extension of the zero-energy Yu-Shiba-Rusinov state in magnetic field
• Pair excitations of a quantum spin on a proximitized superconductor
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Robustness of Yu-Shiba-Rusinov resonances in presence of a complex superconducting order parameter
• Quantum Yu-Shiba-Rusinov dimers
• Coherent and incoherent tunneling into YSR states revealed by atomic scale shot-noise spectroscopy
• Magnetic impurity in a one-dimensional few-fermion system
• Elucidating the local atomic and electronic structure of amorphous oxidized superconducting niobium films
• Tunneling processes between Yu-Shiba-Rusinov bound states
• Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
• Emergent vortex Majorana zero mode in iron-based superconductors
• Testing the topological nature of end states in antiferromagnetic atomic chains on superconductors
• Extending the spin excitation lifetime of a magnetic molecule on a proximitized superconductor
• Zeeman effects on Yu-Shiba-Rusinov states
• PTCDA molecular monolayer on Pb thin films: An unusual π-electron Kondo system and its interplay with a quantum-confined superconductor
• Rise and fall of Yu-Shiba-Rusinov bound-states in charge conserving $s$-wave one-dimensional superconductors
• How long does it take to form the Andreev quasiparticles ?
• Majorana quasiparticles in atomic spin chains on superconductors
• Magnetic-Field-Induced Transition in a Quantum Dot Coupled to a Superconductor
• Nanoscale Control of Quantum States in Radical Molecules on Superconducting Pb(111)
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• Quench dynamics of correlated quantum dot proximitized to superconducting lead
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Spectral Properties and Quantum Phase Transitions in Superconducting Junctions with a Ferromagnetic Link
• Nonreciprocal superconductivity
• Real-space multiple scattering theory for superconductors with impurities
• Tuning the electronic states and superconductivity in alkali fulleride films
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
• Rigorous Wilsonian Renormalization Group for impurity models with a spectral gap
• Quasiparticle focusing of bound states in two-dimensional $s$-wave superconductors
• Yu-Shiba-Rusinov states of single magnetic molecule in an $s-wave$ superconductor
• Tracking a Spin-Polarized Superconducting Bound State across a Quantum Phase Transition
• Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• First principles study of topological phase in chains of $3d$ transition metals
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Probing and dressing magnetic impurities in a superconductor
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Effective low-energy models for superconducting impurity systems
• Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors
• Observation of Yu-Shiba-Rusinov-like states at the edge of CrBr3/NbSe2 heterostructure
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Theory of a Single Magnetic Impurity on a Thin Metal Film in Proximity to a Superconductor
• Quantum phase transition in magnetic nanographenes on a lead superconductor
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Shiba states in systems with density of states singularities
• Quantum spin driven Yu-Shiba-Rusinov multiplets and fermion-parity-preserving phase transition in K${}_3$C${}_{60}$
• Study of Yu-Shiba-Rusinov bound states by tuning the electron density at the Fermi energy
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• Probing Magnetic and Triplet Correlations in Spin-Split Superconductors with Magnetic Impurities
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• Spin relaxation, Josephson effect and Yu-Shiba-Rusinov states in superconducting bilayer graphene
• Gap inversion in one-dimensional Andreev crystals
• Influence of Rashba spin-orbit coupling on the 0-$\pi$ transition and Kondo temperature in 1D superconductors
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• Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor
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• Kondo Effect in a Spin-3/2 Fermi Gas
• Signatures of Amorphous Shiba State in FeTe${}_{0.55}$Se${}_{0.45}$
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• The feedback driven atomic scale Josephson microscope
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• Direct observation of intrinsic surface magnetic disorder in amorphous superconducting films
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• Transient triplet blockade in Andreev junction
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• Non-Topological Edge-Localized Yu-Shiba-Rusinov States in CrBr${}_3$/NbSe${}_2$ Heterostructures
• Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study
• A minimal model of inelastic tunneling of vibrating magnetic molecules on superconducting substrates
• Renormalization approach to the superconducting Kondo model