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We investigate the current cross-correlations in a double quantum dot basedCooper pair splitter coupled to one superconducting and two ferromagneticelectrodes. The analysis is performed by assuming a weak coupling between thedouble dot and ferromagnetic leads, while the coupling to the superconductor isarbitrary. Employing the perturbative real-time diagrammatic technique, westudy the Andreev transport properties of the device, focusing on the Andreevcurrent cross-correlations, for various parameters of the model, both in thelinear and nonlinear response regimes. Depending on parameters and transportregime, we find both positive and negative current cross-correlations.Enhancement of the former type of cross-correlations indicates transportregimes, in which the device works with high Cooper pair splitting efficiency,contrary to the latter type of correlations, which imply negative influence onthe splitting. The processes and mechanisms leading to both types of currentcross-correlations are thoroughly examined and discussed, giving a detailedinsight into the Andreev transport properties of the considered device.

Current cross-correlations in double quantum dot based Cooper pair splitters with ferromagnetic leads