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

Abstract

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

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Cited by in corpus (14)

• Nonlocal thermoelectricity in a Cooper-pair splitter
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• Electron Waiting Times of a Cooper Pair Splitter
• Transport signatures of an Andreev molecule in a quantum dot -- superconductor -- quantum dot setup
• Noise and full counting statistics of a Cooper pair splitter
• Kondo physics in double quantum dot based Cooper pair splitters
• Current cross-correlations and waiting time distributions in Andreev transport through Cooper pair splitters based on triple quantum dots
• Splitting efficiency and interference effects in a Cooper pair splitter based on a triple quantum dot with ferromagnetic contacts
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Cross-correlations in a quantum dot Cooper pair splitter with ferromagnetic leads
• Dark states in spin-polarized transport through triple quantum dot molecules
• Single-photon pump by Cooper-pair splitting
• Coherent current correlations in a double-dot Cooper pair splitter
• Andreev molecule in parallel InAs nanowires