Josephson current in strongly correlated double quantum dots

Abstract

We study the transport properties of a serial double quantum dot (DQD) coupled to two superconducting leads, focusing on the Josephson current through the DQD and the associated 0-$\pi$ transitions which result from the subtle interplay between the superconductivity, the Kondo physics, and the inter-dot superexchange interaction. We examine the competition between the superconductivity and the Kondo physics by tuning the relative strength $\Delta /T_K$ of the superconducting gap $\Delta$ and the Kondo temperature $T_K$, for different strengths of the superexchange coupling determined by the interdot tunneling $t$ relative to the dot level broadening $\Gamma$. We find strong renormalization of $t$, a significant role of the superexchange coupling $J$, and a rich phase diagram of the 0 and $\pi$-junction regimes. In particular, when both the superconductivity and the exchange interaction are in close competion with the Kondo physics ($\Delta \sim J\sim T_K$), there appears an island of ${\pi }^{\prime }$-phase at large values of the superconducting phase difference.

4 pages, 4 figures

References in corpus (29)

• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• A Quantum Dot in the Kondo Regime Coupled to Superconductors
• Energy resolution and discretization artefacts in the numerical renormalization group
• Josephson Current through a correlated quantum level: Andreev states and Pi-junction behavior
• Out-of-equilibrium Kondo effect in Double Quantum Dots
• Transition between Quantum States in a Parallel-Coupled Double-Quantum-Dot
• Electronic correlations in transport through coupled quantum dots
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• 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
• The Interacting Impurity Josephson Junction: Variational Wavefunctions and Slave Boson Mean Field Theory
• Kondo-Enhanced Andreev Tunneling in InAs Nanowire Quantum Dots
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Kondo resonant spectra in coupled quantum dots
• RKKY and magnetic field interactions in coupled Kondo quantum dots
• Andreev Scattering and the Kondo Effect
• Kondo effect in coupled quantum dots: a Non-crossing approximation study
• pi-Junction behavior and Andreev bound states in Kondo quantum dots with superconducting leads
• Superconductivity-enhanced bias spectroscopy in carbon nanotube quantum dots
• Josephson Coupling through a Quantum Dot
• Singlet-Triplet Transition in lateral Quantum Dots: A Numerical Renormalization Group Study
• Non-equilibrium dynamics of Andreev states in the Kondo regime
• Interplay between Josephson effect and magnetic interactions in double quantum dots
• Correlated electron transport through double quantum dots coupled to normal and superconducting leads
• The Two-impurity Anderson Model Revisited: Competition between Kondo Effect and Reservoir-mediated Superexchange in Double Quantum Dots
• Josephson-current induced conformational switching of a molecular quantum dot
• Comment on "Josephson Current through a Nanoscale Magnetic Quantum Dot"

Cited by in corpus (33)

• Josephson and Andreev transport through quantum dots
• Anomalous Josephson current, incipient time-reversal symmetry breaking, and Majorana bound states in interacting multi-level dots
• The Anderson-Josephson quantum dot -- A theory perspective
• Magnetic anisotropy effects on quantum impurities in superconducting host
• Supercurrent in a double quantum dot
• Phase diagram and excitations of a Shiba molecule
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Supercurrent through a serial quantum dot close to singlet-triplet degeneracy
• Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
• Quantum Yu-Shiba-Rusinov dimers
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
• Nonlocal Andreev Reflections as a Source of Spin Exchange and Kondo Screening
• Manipulability of the Kondo effect in a T-shaped triple-quantum-dot structure
• Yu-Shiba-Rusinov states of single magnetic molecule in an $s-wave$ superconductor
• Field-free Josephson diode effect in interacting chiral quantum dot junctions
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Fano resonance in a normal metal/ferromagnet-quantum dot-superconductor device
• Phase and Thermal Driven Transport across T-Shaped Double Quantum Dot Josephson Junction
• Suppressed Josephson phase transition in one parallel double-quantum-dot junction
• Subgap modes in two-dimensional magnetic Josephson junctions
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• 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
• Quantum phase transition in a double quantum dot Josephson junction driven by electron-electron interactions
• Magnetic flux controlled current phase relationship in double Quantum Dot Josephson junction
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions
• Transient triplet blockade in Andreev junction
• Andreev molecule in parallel InAs nanowires