# Cooper pair splitting and recombination in a nanoSQUID geometry at high transparency

2 CPT - E6 Nanophysique
CPT - Centre de Physique Théorique - UMR 7332
Abstract : We describe a Josephson device composed of two superconductors separated by two interacting quantum dots in parallel, as a probe for Cooper pair splitting. In addition to sequential tunneling of electrons through each dot, an additional transport channel exists in this system: crossed Andreev reflection, where a Cooper pair from the source is split between the two dots and recombined in the drain superconductor. Unlike non-equilibrium scenarios for Cooper pair splitting which involves superconducting/normal metal "forks", our proposal relies on an Aharonov-Bohm measurement of the DC Josephson current when a flux is inserted between the two dots. We provide a path integral approach to treat arbitrary transparencies, and we explore all contributions for the individual phases ($0$ or $\pi$) of the quantum dots. We propose a definition of the Cooper pair splitting efficiency for arbitrary transparencies, which allows us to find the phase associations which favor the crossed Andreev process. Possible applications to experiments using nanowires as quantum dots are discussed.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01260444
Contributor : Jérôme Rech <>
Submitted on : Friday, January 22, 2016 - 10:49:25 AM
Last modification on : Thursday, March 15, 2018 - 4:56:08 PM

### Citation

R. Jacquet, J. Rech, T. Jonckheere, A. Zazunov, T. Martin. Cooper pair splitting and recombination in a nanoSQUID geometry at high transparency. Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92 (23), pp.235429. ⟨10.1103/PhysRevB.92.235429⟩. ⟨hal-01260444⟩

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