Josephson-phase-controlled interplay between correlation effects and electron pairing in a three-terminal nanostructure

Abstract

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the phase-tunable interplay between the correlation effects and the proximity-induced electron pairing resulting in the singlet-doublet (0-$\pi$) crossover and the phase-dependent Kondo effect. We investigate the spectral function, induced local pairing, Josephson supercurrent, and Andreev conductance in a wide range of system parameters by the numerically exact Numerical Renormalization Group and Quantum Monte Carlo calculations along with perturbative treatments in terms of the Coulomb repulsion and the hybridization term. Our results address especially the correlation effects reflected in dependencies of various quantities on the local Coulomb interaction strength as well as on the coupling to the normal lead. We quantitatively establish the phase-dependent Kondo temperature $\log T_K(\varphi )\propto {\cos }^2(\varphi /2)$ and show that it can be read off from the half-width of the zero-bias enhancement in the Andreev conductance in the doublet phase, which can be experimentally measured by the tunneling spectroscopy.

12 pages, 11 figures; v2: minor text corrections, nearly identical to the published version

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• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Josephson effect in a junction coupled to an electron reservoir
• How long does it take to form the Andreev quasiparticles ?
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Interplay between electron pairing and Dicke effect in triple quantum dots structures
• Tunable reentrant Kondo effect in quantum dots coupled to metal-superconducting hybrid reservoirs
• Correlation effects in superconducting quantum dot systems
• Well-defined Fano effect in the Andreev reflection process of a parallel double-quantum-dot structure
• Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
• Effective low-energy models for superconducting impurity systems
• Footprints of impurity quantum phase transitions in quantum Monte Carlo statistics
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Nonlocal Andreev transport through a quantum dot in a magnetic field: Interplay between Kondo, Zeeman, and Cooper-pair correlations
• Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
• Yu-Shiba-Rusinov states, the BCS-BEC crossover, and the exact solution in the flat-band limit
• Subgap states in superconducting islands
• Interplay between pairing and correlations in spin-polarized bound states
• Properties of multiterminal superconducting nanostructure with double quantum dot
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots