Absence of split pairs in cross correlations of a highly transparent normal metal–superconductor–normal metal electron-beam splitter
Martina Flöser, Denis Feinberg, Régis Mélin
DOI 10.1103/PhysRevB.88.094517 · Physical Review B
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Abstract
The nonlocal conductance and the current cross-correlations are investigated within scattering theory for three-terminal normal metal–superconductor–normal metal (NSN) hybrid structures. The positive cross-correlations at high transparency found by Mélin, Benjamin, and Martin [Phys. Rev. B 77, 094512 (2008)] are not due to crossed Andreev reflection. On the other hand, local processes can be enhanced by reflectionless tunneling but this mechanism has little influence on nonlocal processes and on current cross-correlations. Therefore Cooper pair splitting cannot be enhanced by reflectionless tunneling. Overall, this shows that NSN structures with highly transparent or effectively highly transparent interfaces are not suited to experimentally producing entangled split pairs of electrons.
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