Renormalization effects in interacting quantum dots coupled to superconducting leads

Abstract

We study subgap transport through an interacting quantum dot tunnel coupled to one normal and two superconducting leads. To check the reliability of an approximation of an infinitely-large gap $\Delta$ in the superconducting leads and weak tunnel coupling to the normal lead, we perform a $1/\Delta$ expansion, and we analyze next-to-leading order corrections in the tunnel coupling to the normal lead. Furthermore, we propose a resummation approach to calculate the Andreev bound states for finite $\Delta$. The results are substantially more accurate than those obtained by mean-field treatments and favorably compare with numerical exact results.

11 pages, 10 figures

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• 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
• Double quantum dot Cooper-pair splitter at finite couplings
• Spin resonance without spin splitting
• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots
• Kondo physics in double quantum dot based Cooper pair splitters
• How long does it take to form the Andreev quasiparticles ?
• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Odd-triplet superconductivity in single-level quantum dots
• Coherent Backaction of Quantum Dot Detectors: Qubit Isospin Precession
• Pair-amplitude dynamics in strongly-coupled superconductor-quantum dot hybrids
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire
• Resonator induced quantum phase transitions in a hybrid Josephson junction
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space