Dynamical Coulomb blockade of multiple Andreev reflections

Abstract

We analyze the dynamical Coulomb blockade of multiple Andreev reflections (MAR) in a superconducting quantum point contact coupled to a macroscopic impedance. We find that at very low transmission the blockade scales as $n^2$ with $n=Int(2\Delta /eV)$, where $V$ is the bias voltage and $\Delta$ is the superconducting gap, as it would correspond to the occurrence of "shots" of charge $ne$. For higher transmission the blockade is reduced both due to Pauli principle and to elastic renormalization of the MAR probability, and for certain voltage regions it may even become an "antiblockade", i.e. the current is enhanced due to the coupling with the electromagnetic environment.

5 pages, 4 figures, submitted to Phys. Rev. Lett

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• Interplay between direct and crossed Andreev reflections in hybrid nano-structures
• Superconducting non-equilibrium transport through a weakly interacting quantum dot
• Fluctuations of the Josephson current and electron-electron interactions in superconducting weak links
• Coulomb blockade of non-local electron transport in metallic conductors