Understanding the Josephson current through a Kondo-correlated quantum dot
arXiv:1201.5117 · doi:10.1103/PhysRevLett.108.227001
Abstract
We study the Josephson current 0- transition of a quantum dot tuned to the Kondo regime. The physics can be quantitatively captured by the numerically exact continuous time quantum Monte Carlo method applied to the single-impurity Anderson model with BCS superconducting leads. For a comparison to an experiment the tunnel couplings are determined by fitting the normal-state linear conductance. Excellent agreement for the dependence of the critical Josephson current on the level energy is achieved. For increased tunnel couplings the Kondo scale becomes comparable to the superconducting gap and the regime of the strongest competition between superconductivity and Kondo correlations is reached; we predict the gate voltage dependence of the critical current in this regime.
5 pages, 3 figures
References in corpus (3)
Cited by in corpus (51)
- Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
- Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit
- The Anderson-Josephson quantum dot -- A theory perspective
- Scaling of sub-gap excitations in a superconductor-semiconductor nanowire quantum dot
- 0- quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
- Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
- Perturbation theory of a superconducting impurity quantum phase transition
- Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
- 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 Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting leads
- Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
- Quantum dot attached to superconducting leads: Relation between symmetric and asymmetric coupling
- 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
- Practical Guide to Quantum Phase Transitions in Quantum-Dot-Based Tunable Josephson Junctions
- Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
- Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
- Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
- Non-equilibrium transport through a Josephson quantum dot
- Josephson effect in junctions of conventional and topological superconductors
- Nanoscale Control of Quantum States in Radical Molecules on Superconducting Pb(111)
- Josephson effect in Majorana box devices
- Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
- Connection between zero-energy Yu-Shiba-Rusinov states and 0- transitions in magnetic Josephson junctions
- Fermi liquid approach for superconducting Kondo problems
- Magnetic-impurity resonance states for different pairing symmetries in twisted bilayer graphene
- Correlation effects in superconducting quantum dot systems
- Exploring the Kondo effect of an extended impurity with chains of Co adatoms in a magnetic field
- Universal scaling of tunable Yu-Shiba-Rusinov states across the quantum phase transition
- Erasing odd-parity states in semiconductor quantum dots coupled to superconductors
- Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
- Effective low-energy models for superconducting impurity systems
- Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
- Impurity Knight shift in quantum dot Josephson junctions
- Unified theory of quantum phase transitions in quantum dots with gapped host bands
- Fano resonance in a normal metal/ferromagnet-quantum dot-superconductor device
- Footprints of impurity quantum phase transitions in quantum Monte Carlo statistics
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
- Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
- Failure of the mean-field description of magnetic fluctuations in the superconducting quantum dot
- Subgap states in superconducting islands
- Variational solution of the superconducting Anderson impurity model and the band-edge singularity phenomena
- Andreev bound state spectroscopy of a quantum-dot-based Aharonov-Bohm interferometer with superconducting terminals
- Spin-symmetric solution of an interacting quantum dot attached to superconducting leads: Andreev states and the transition
- Temperature dependent energy gap for Yu-Shiba-Rusinov states at the quantum phase transition
- Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
- Andreev bound states in Superconductor-quantum dot Josephson junction at infinite-U limit
- Evolution of the Andreev bands in the half-filled superconducting periodic Anderson model
- Slave-spin approach to the Anderson-Josephson quantum dot