Yu-Shiba-Rusinov states in phase-biased S-QD-S junctions

Abstract

We study the effects of a phase difference on Yu-Shiba-Rusinov (YSR) states in a spinful Coulomb-blockaded quantum dot contacted by a superconducting loop. In the limit where charging energy is larger than the superconducting gap, we determine the subgap excitation spectrum, the corresponding supercurrent, and the differential conductance as measured by a normal-metal tunnel probe. In absence of a phase difference only one linear combination of the superconductor lead electrons couples to the spin, which gives a single YSR state. With finite phase difference, however, it is effectively a two-channel scattering problem and therefore an additional state emerges from the gap edge. The energy of the phase-dependent YSR states depend on the gate voltage and one state can cross zero energy twice inside the valley with odd occupancy. These crossings are shifted by the phase difference towards the charge degeneracy points, corresponding to larger exchange couplings. Moreover, the zero-energy crossings give rise to resonant peaks in the differential conductance with magnitude $4e^2/h$. Finally, we demonstrate that the quantum fluctuations of the dot spin do not alter qualitatively any of the results.

13 pages, 7 figures

References in corpus (13)

• Supercurrent reversal in quantum dots
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Spectral properties of locally correlated electrons in a BCS superconductor
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Tunneling processes into localized subgap states in superconductors
• Josephson current through a single Anderson impurity coupled to BCS leads
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Transport Measurement of Andreev Bound States in a Kondo-Correlated Quantum Dot
• Superconductivity-enhanced bias spectroscopy in carbon nanotube quantum dots
• Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Nonequilibrium transport via spin-induced sub-gap states in superconductor/quantum dot/normal metal cotunnel junctions

Cited by in corpus (60)

• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Tuning Yu-Shiba-Rusinov States in a Quantum Dot
• Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit
• The Anderson-Josephson quantum dot -- A theory perspective
• Yu-Shiba-Rusinov states in the charge-density modulated superconductor NbSe2
• Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
• Supercurrent in a double quantum dot
• Circuit-QED with phase-biased Josephson weak links
• Yu-Shiba-Rusinov states in real metals
• The Majorana spin in magnetic atomic chain systems
• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• Two-Impurity Yu-Shiba-Rusinov States in Coupled Quantum Dots
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Current-phase relations of InAs nanowire Josephson junctions: from interacting to multi-mode regimes
• Microwave response of an Andreev bound state
• The fate of the Kondo cloud in a superconductor
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Spatially dispersing Yu-Shiba-Rusinov states in the unconventional superconductor ${\mathrm{FeTe}}_{0.55}{\mathrm{Se}}_{0.45}$
• Quantum dot attached to superconducting leads: Relation between symmetric and asymmetric coupling
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Josephson-phase-controlled interplay between correlation effects and electron pairing in a three-terminal nanostructure
• 0-Pi quantum transition in a carbon nanotube Josephson junction: Universal phase dependence and orbital degeneracy
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Surrogate model solver for impurity-induced superconducting subgap states
• Quantum Yu-Shiba-Rusinov dimers
• Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
• Anomalous Josephson current through a driven double quantum dot
• Zeeman-driven parity transitions in an Andreev quantum dot
• Fermion-parity qubit in a proximitized double quantum dot
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Unconventional Yu-Shiba-Rusinov states in hydrogenated graphene
• Nb/InAs nanowire proximity junctions from Josephson to quantum dot regimes
• A quantum dot in germanium proximitized by a superconductor
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Inductive microwave response of Yu-Shiba-Rusinov states
• Connection between zero-energy Yu-Shiba-Rusinov states and 0-$\pi$ transitions in magnetic Josephson junctions
• 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
• Intermediate states in Andreev bound state fusion
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
• Impurity Knight shift in quantum dot Josephson junctions
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Theory of a Single Magnetic Impurity on a Thin Metal Film in Proximity to a Superconductor
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Quantum Phase Transitions in Proximitized Josephson Junctions
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Multi-particle instability in a spin-imbalanced Fermi gas
• Dirac Kondo effect under magnetic catalysis
• Anisotropy and spin-fluctuation effects on the spectral properties of Shiba impurities
• Underscreened Kondo Compensation in a Superconductor
• Qubit based on spin-singlet Yu-Shiba-Rusinov states
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space
• Properties of multiterminal superconducting nanostructure with double quantum dot
• Enhanced negative nonlocal conductance in an interacting quantum dot connected to two ferromagnetic leads and one superconducting lead
• Yu-Shiba-Rusinov states in color superconducting quark matter
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions