Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model

Abstract

We determine the phase diagram of an Anderson impurity in contact with superconducting and normal-state leads for arbitrary ratio of the gap $\Delta$ to the Kondo temperature $T_K$. We observe a considerable effect of even very weak coupling to the normal lead that is usually considered as a non-perturbing tunneling probe. The numerical renormalization group results are analyzed in the context of relevant experimental scenarios such as parity crossing (doublet-singlet) quantum phase transitions induced by a gap reduction as well as novel Kondo features induced by the normal lead. We point out the important role of finite temperatures and magnetic fields. Overall, we find a very rich behavior of spectral functions with zero-bias anomalies which can emerge irrespective of whether the ground state is a doublet or a singlet. Our findings are pertinent to the tunnelling-spectroscopy experiments aiming at detecting Majorana modes in nanowires.

Final version, 18 pages, 17 figures

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Cited by in corpus (51)

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• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Majorana splitting from critical currents in Josephson junctions
• Tuning Yu-Shiba-Rusinov States in a Quantum Dot
• Proximity-induced Shiba states in a molecular junction
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
• Observation of tunable single-atom Yu-Shiba-Rusinov states
• Interfering tunneling paths through magnetic molecules on superconductors: Asymmetries of Kondo and Yu-Shiba-Rusinov resonances
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• Dynamical quantum phase transitions in a mesoscopic superconducting system
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• Interplay between electron pairing and Dicke effect in triple quantum dots structures
• Topological isoconductance signatures in Majorana nanowires
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• Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
• Fluxoid-induced pairing suppression and near-zero modes in quantum dots coupled to full-shell nanowires
• Temperature Induced Shifts of Yu-Shiba-Rusinov Resonances in Nanowire-Based Hybrid Quantum Dots
• Statistical correlations of currents flowing via proximized quantum dot
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• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
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• Nonlinear electric and thermoelectric Andreev transport through a hybrid quantum dot coupled to ferromagnetic and superconducting leads
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
• Robust Spin Polarization of Yu-Shiba-Rusinov States in Superconductor/Ferromagnetic Insulator Heterostructures
• Kondo Effect in Defect-bound Quantum Dots Coupled to NbSe${}_2$
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• Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
• Transport properties of proximitized double quantum dots
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• Superconducting quantum dot and the sub-gap states
• Subgap states in superconducting islands
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Underscreened Kondo Compensation in a Superconductor
• Properties of multiterminal superconducting nanostructure with double quantum dot
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space
• Temperature dependent energy gap for Yu-Shiba-Rusinov states at the quantum phase transition
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach