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A superconductor connected to normal leads allows to generateEinstein-Podolsky-Rosen pairs by Cooper pair splitting. It has been realizedwith quantum dots either defined in carbon nanotubes or InAs nanowires. Afterestablishing the presence of Cooper pair splitting in such devices new workshave invesigated the effects of a finite potential difference between thequantum dots to improve and characterize the efficiency of Cooper pairsplitting. In this paper we present a generic model for Cooper pair splittingand develop two minimal models specifically for the two experimentalrealisations and compare them to experimental data. In addition we also explorethe relation of nonlocal charge transfer to positive current cross correlationof currents and discuss the temperature dependence of Cooper pair splitting.

Generic model for Cooper pair splitting