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We investigate Andreev transport through a quantum dot attached to twoexternal ferromagnetic leads and one superconducting electrode. The transportproperties of the system are studied by means of the real-time diagrammatictechnique in the sequential tunneling regime. To distinguish variouscontributions to Andreev current we calculate the current cross-correlations,i.e. correlations between currents flowing through two junctions with normalleads. We analyze dependence of current cross-correlations on variousparameters of the considered model, both in linear and nonlinear transportregimes. The processes and mechanisms leading to enhancement, suppression orsign change of current cross-correlations are examined and discussed.Interestingly, our results show that for specific transport regimes splittedCooper pair results in two uncorrelated electrons. However, utilizingferromagnetic leads instead of non-magnetic electrodes can result in positivecurrent cross-correlations.

Cross-correlations in a quantum dot Cooper pair splitter with ferromagnetic leads