Charge-Kondo Effect in Mesoscopic Superconductors Coupled to Normal Metals

Abstract

We develop a theoretical proposal for the charge Kondo effect in mesoscopic normal-superconductor-normal heterostructures, where the superconducting gap exceeds the electrostatic charging energy. Charge-Kondo correlations in these devices alter the conventional temperature-dependence of Andreev reflection and electron cotunneling. We predict typical Kondo temperatures of $\gtrsim 10\mathrm{mK}$, and suggest experimental architectures that combine superconducting charge-qubits with semiconducting nanowires at cryogenic temperatures.

17 pages, 4 figures; submitted to Phys. Rev. B

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• Quantum Criticality in Resonant Andreev Conduction
• Extended strange metal regime from superconducting puddles
• Charge-Kondo effect mediated by repulsive interactions
• Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
• Quantum criticality and formation of a singular Fermi liquid in the attractive SU(N > 2) Anderson model
• A model description of the supersolid state in YBCO