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Predictions are established for linear differential current-currentcross-correlations dSab/dV in a symmetrically biased three-terminal normalmetal-superconductor-normal metal (NSN) device. Highly transparent contactsturn out to be especially interesting because they feature positive dSab/dV. Athigh transparency, processes based on Crossed Andreev Reflection (CAR)contribute only negligibly to the current and to dSab/dV. Under thesecircumstances, current-current cross-correlations can be plausibly interpretedas a coherent coupling between the two NS interfaces in the form ofsynchronized Andreev and inverse Andreev reflections, corresponding to theprocess where a pair of electron-like quasi-particles and a pair of hole-likequasi-particles arrive from the normal electrodes and annihilate in thesuperconductor. Hence, positive dSab/dV does not automatically imply CAR. Fortunnel contacts, dSab/dV is positive because of CAR. In between these twoextremities, at intermediate transparencies, dSab/dV is negative because bothprocesses which cause positive correlations, occur only with small amplitude.We use scattering theory to obtain analytic expressions for current and noise,and microscopic calculation using a tight binding model in order to obtain aclear interpretation of the physical processes.

physical review. b, condensed matter and materials physics

Positive current cross-correlations in a highly transparent  normal-superconducting beam splitter due to synchronized Andreev and inverse  Andreev reflections