Reprint of : Cross-correlations of coherent multiple Andreev reflections

• We study current correlations in voltage-biased 3-terminal Josephson junctions.
• At low voltage, large and positive cross-correlations can be realized.
• The interplay between supercurrents and quasiparticle transport is nontrivial.

We use the Landauer–Büttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is due to coherent multiple Andreev reflections, we find large cross-correlations compared with their normal-state value. Furthermore, depending on the parameters that characterize the properties of the scattering region between the leads, the cross-correlations can reverse their sign with respect to the case of non-interacting fermionic systems.