Current cross-correlations and waiting time distributions in Andreev transport through Cooper pair splitters based on triple quantum dots

Abstract

We study the spin-resolved subgap transport in a triple quantum-dot system coupled to one superconducting and two ferromagnetic leads. We examine the Andreev processes in the parallel and antiparallel alignments of ferromagnets magnetic moments in both the linear and nonlinear response regimes. The emphasis is put on the analysis of the current cross-correlations between the currents flowing through the left and right arms of the device and relevant electron waiting time distributions. We show that both quantities can give an important insight into the subgap transport processes and their analysis can help optimizing the system parameters for achieving the considerable Andreev current and efficient Cooper pair splitting. Strong positive values of cross-correlations are associated with the presence of tunneling processes enhancing the Cooper pair splitting efficiency, while short waiting times for electrons tunneling through distinct ferromagnetic contacts indicate fast splitting of emitted Cooper pairs. In particular, we study two detuning schemes and show that antisymmetric shift of side quantum dots energy levels is favorable for efficient Cooper pair splitting. The analysis of spin-resolved waiting time distributions supports the performance enhancement due to the presence of ferromagnetic contacts, which is in particular revealed for short times. Finally, we consider the effect of changing the inter-dot hopping amplitude and predict that strong inter-dot correlations lead to a reduction of Andreev transport properties in low-bias limit.

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• Real-time observation of Cooper pair splitting showing strong non-local correlations
• Noise and full counting statistics of a Cooper pair splitter
• Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes
• Quench dynamics of correlated quantum dot proximitized to superconducting lead
• Dynamic Cooper Pair Splitter
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Magnetic Kondo regimes in a frustrated half-filled trimer
• Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer