Maximal positive cross shot noise from Andreev reflection
A. Bednorz, J. Tworzyd{\l}o, J. Wr\'obel, and T. Dietl

TL;DR
This paper demonstrates a theoretical setup where Andreev reflection can produce maximal positive cross shot noise, indicating perfect electron splitting from Cooper pairs in a superconductor-normal metal junction.
Contribution
It introduces a specific scattering matrix configuration that achieves ideal electron splitting, advancing understanding of noise properties in superconductor-normal metal interfaces.
Findings
Maximal positive cross shot noise achievable in the setup.
Scattering matrix example for perfect electron splitting.
Discussion of experimental realization possibilities.
Abstract
The current flowing from a superconductor to a two-terminal setup describing a nanostructure connected to normal-metal leads is studied. We provide an example of scattering matrix giving ideal splitting off electrons from a Cooper pair by means of Cauchy-Bunyakovsky-Schwarz inequality. The proposal of the junction and its possible variants are discussed in a context of possible experiments.
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