Positive Hanbury-Brown and Twiss correlations in superconducting hybrids: Role of interfaces and interactions

Shot noise cross-correlations in Normal metal-Superconductor-Normal metal structures are discussed at arbitrary interface transparencies. Negative crossed conductance in such set-ups does not preclude the possibility of positive noise cross correlations for almost transparent contacts, which is interpreted as the signature of processes having both features of two-electron cotunneling and of double non local electron-hole process. Further the sign of noise cross-correlations can be controlled via the interface transparencies. A phenomenological approach based on renormalization group is also attempted in order to describe qualitatively the effects of interaction in the normal electrodes. Interactions can induce sign changes in the noise crossed correlations, especially for moderate or large interface transparencies