Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior

Abstract

The Josephson transport and the electronic properties of a quantum dot characterized by a single level coupled to superconducting leads is analyzed. Different approximations are used and compared: the mean field approximation, the second order perturbation theory in the Coulomb interaction and the exact diagonalization in the zero band-width limit. The system exhibits a rich behavior as a function of the relevant parameters. We discuss in detail the conditions for the observation of Pi-junction behavior and the effect of Coulomb interactions on the Andreev states.

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• Transport in multilevel quantum dots: from the Kondo effect to the Coulomb blockade regime
• Josephson Coupling through a Quantum Dot
• Kondo-resonance, Coulomb blockade, and Andreev transport through a quantum dot

Cited by in corpus (158)

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• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
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• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• Spectral properties of locally correlated electrons in a BCS superconductor
• Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Josephson current through a single Anderson impurity coupled to BCS leads
• Josephson current through a nanoscale magnetic quantum dot
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Current-phase relations of few-mode InAs nanowire Josephson junctions
• Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
• Quantum phase transition in a minimal model for the Kondo effect in a Josephson junction
• The Anderson-Josephson quantum dot -- A theory perspective
• Andreev bound states probed in three-terminal quantum dots
• Interplay of Kondo and superconducting correlations in the nonequilibrium Andreev transport through a quantum dot
• Scaling of sub-gap excitations in a superconductor-semiconductor nanowire quantum dot
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Time-dependent quantum transport with superconducting leads: a discrete basis Kohn-Sham formulation and propagation scheme
• A weak coupling CTQMC study of the single impurity and periodic Anderson models with s-wave superconducting baths
• Josephson current in strongly correlated double quantum dots
• Temperature dependence of Andreev spectra in a superconducting carbon nanotube quantum dot
• Josephson current through a quantum dot with spin-orbit coupling
• Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Suppressed Charge Dispersion via Resonant Tunneling in a Single-Channel Transmon
• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Observation of vanishing charge dispersion of a nearly-open superconducting island
• Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
• Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
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• Josephson current through interacting double quantum dots with spin-orbit coupling
• Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
• Interplay between Josephson effect and magnetic interactions in double quantum dots
• Yu-Shiba-Rusinov states in real metals
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• Non-Equilibrium Josephson and Andreev Current through Interacting Quantum Dots
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Electrical control of Kondo effect and superconducting transport in a side-gated InAs quantum dot Josephson junction
• Interplay between Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting leads
• Nonequilibrium transport through a spinful quantum dot with superconducting leads
• Geometrical enhancement of the proximity effect in quantum wires with extended superconducting tunnel contacts
• Constructive influence of the induced electron pairing on the Kondo state
• Study of 0-$\pi$ phase transition in hybrid superconductor-InSb nanowire quantum dot devices
• Current-phase relations of InAs nanowire Josephson junctions: from interacting to multi-mode regimes
• Controllable pi junction in a Josephson quantum-dot device with molecular spin
• Manipulation with Andreev states in spin active mesoscopic Josephson junctions
• Josephson current through a Kondo molecule
• Josephson diode based on conventional superconductors and a chiral quantum dot
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Josephson Effect through an isotropic magnetic molecule
• Josephson effect through a quantum dot array
• Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
• Triplet-blockaded Josephson supercurrent in double quantum dots
• Numerical sub-gap spectroscopy of double quantum dots coupled to 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
• Superconducting non-equilibrium transport through a weakly interacting quantum dot
• Phonon Squeezing in a Superconducting Molecular Transistor
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Pair excitations of a quantum spin on a proximitized superconductor
• Andreev Bound States in the Kondo Quantum Dots Coupled to Superconducting Leads
• Josephson current in carbon nanotubes with spin-orbit interaction
• Surrogate model solver for impurity-induced superconducting subgap states
• Supercurrent through a serial quantum dot close to singlet-triplet degeneracy
• Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
• Berry curvature tomography and realization of topological Haldane model in driven three-terminal Josephson junctions
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Fano effect in a Josephson junction with a quantum dot
• Josephson effect for SU(4) carbon nanotube quantum dots
• Zeeman-driven parity transitions in an Andreev quantum dot
• Spin-orbital coupling effect on Josephson current through a superconductor heterojunction
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• Fermion-parity qubit in a proximitized double quantum dot
• Non-equilibrium transport through a Josephson quantum dot
• Josephson-current induced conformational switching of a molecular quantum dot
• Washing out of the 0-pi transition in Josephson junctions
• Josephson effect in junctions of conventional and topological superconductors
• Andreev-Coulomb Drag in Coupled Quantum Dots
• Conductance properties of nanotubes coupled to superconducting leads: signatures of Andreev states dynamics
• Magnetic-Field-Induced Transition in a Quantum Dot Coupled to a Superconductor
• Kondo screening of Andreev bound states in an N-QD-S system
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
• Connection between zero-energy Yu-Shiba-Rusinov states and 0-$\pi$ transitions in magnetic Josephson junctions
• $6\pi$ Josephson effect in Majorana box devices
• Inductive microwave response of Yu-Shiba-Rusinov states
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Anomalous Josephson Hall effect charge and transverse spin currents in superconductor/ferromagnetic insulator/superconductor junctions
• Fermi liquid approach for superconducting Kondo problems
• Fluxoid-induced pairing suppression and near-zero modes in quantum dots coupled to full-shell nanowires
• Metamorphosis and Taxonomy of Andreev Bound States
• Spectral Properties and Quantum Phase Transitions in Superconducting Junctions with a Ferromagnetic Link
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Magnetic Impurities on Superconducting Surfaces: Phase Transitions and the Role of Impurity-Substrate Hybridization
• Josephson current through a quantum dot coupled to a molecular magnet
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Josephson current transport through a Quantum Dot in an Aharonov-Bohm Ring
• Noise and microresonance of critical current in Josephson junction induced by Kondo trap states
• First order $0/\pi$ quantum phase transition in the Kondo regime of a superconducting carbon nanotube quantum dot
• AC Josephson transport through interacting quantum dots
• Low-temperature transport through a quantum dot between two superconductor leads
• Kondo effect and spin-active scattering in ferromagnet-superconductor junctions
• Full counting statistics of interacting quantum dots contacted by a normal metal and a superconductor
• Supercurrent transport through 1$e$-periodic full-shell Coulomb islands
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Josephson junction π-0 transition induced by orbital hybridization in a double quantum dot
• Impurity Knight shift in quantum dot Josephson junctions
• Effective low-energy models for superconducting impurity systems
• The carbon nanotube gatemon qubit
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• Andreev quantum dot with several conducting channels
• Rashba induced Kondo screening of a magnetic impurity in two-dimensional superconductor
• Statistical correlations of currents flowing via proximized quantum dot
• Theory of a Single Magnetic Impurity on a Thin Metal Film in Proximity to a Superconductor
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Influence of assisted hopping interaction on the linear conductance of quantum dot
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• Suppressed Josephson phase transition in one parallel double-quantum-dot junction
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• Generalized transmon Hamiltonian for Andreev spin qubits
• Andreev spin-noise detector
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
• Yu-Shiba-Rusinov states, the BCS-BEC crossover, and the exact solution in the flat-band limit
• Critical Josephson current through a bistable single-molecule junction
• FCS of superconducting tunnel junctions in non-equilibrium
• Probing Magnetic and Triplet Correlations in Spin-Split Superconductors with Magnetic Impurities
• Josephson radiation in a superconductor-quantum dot-superconductor junction
• Robust Spin Polarization of Yu-Shiba-Rusinov States in Superconductor/Ferromagnetic Insulator Heterostructures
• Generic model for Cooper pair splitting
• Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor
• Superconducting quantum dot and the sub-gap states
• Failure of the mean-field description of magnetic fluctuations in the superconducting quantum dot
• Interplay between pairing and correlations in spin-polarized bound states
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Spin-symmetric solution of an interacting quantum dot attached to superconducting leads: Andreev states and the $0-\pi$ transition
• Dephasing of Andreev pairs entering a charge density wave
• A Large-$N$ Approach to Magnetic Impurities in Superconductors
• Properties of multiterminal superconducting nanostructure with double quantum dot
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space
• Quantum phase transitions in superconductor--quantum-dot--superconductor Josephson structures with attractive intradot interaction
• Coulomb-enhanced resonance transmission of quantum SINIS junctions
• Andreev bound states in Superconductor-quantum dot Josephson junction at infinite-U limit
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions
• Spin splitting, Kondo correlation and singlet-doublet quantum phase transition in a superconductor-coupled InSb nanosheet quantum dot
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Slave-spin approach to the Anderson-Josephson quantum dot