Interplay between direct and crossed Andreev reflections in hybrid nano-structures

Abstract

The interplay between various many body effects in a quantum dot attached to two normal and one superconducting lead is considered in the limit of large superconducting gap. By the proximity effect the superconducting lead induces pairing correlations on the quantum dot. In the subgap region one observes the anomalous tunneling via direct and crossed Andreev scattering, whereas the usual single particle electronic transfer is suppressed. The interactions of electrons on the dot leading to such phenomena as the Coulomb blockade and the Kondo effect severely modify the currents flowing in the system. In particular: (i) they prevent the existence of the negative differential conductance observed for non-interacting quantum dot over the whole range of voltages, (ii) affect the distribution of the currents as function of the applied voltage and (iii) lead to the appearance of additional low bias feature due to the formation of the Abrikosov-Suhl resonance. The non-local correlations in the Coulomb blockade regime are most pronounced for the particle-hole symmetric dot and thus can be easily tuned by means of gate voltage. They are observed even in the Kondo regime and dominate the behavior close to the Abrikosov-Suhl resonance showing convincingly that Kondo correlations do not destroy subtle entanglement between electrons.

14 pages, 10 figures, to appear in Phys. Rev. B

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• Novel non-local effects in three-terminal hybrid devices with quantum dot
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Splitting efficiency and interference effects in a Cooper pair splitter based on a triple quantum dot with ferromagnetic contacts
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Statistical correlations of currents flowing via proximized quantum dot
• Superconducting electron and hole lenses
• Nonlocal Andreev transport through a quantum dot in a magnetic field: Interplay between Kondo, Zeeman, and Cooper-pair correlations
• Bounds on skewness and kurtosis of steady state currents
• Enhanced negative nonlocal conductance in an interacting quantum dot connected to two ferromagnetic leads and one superconducting lead
• Quench dynamics of Fano-like resonances in the presence of the on-dot superconducting pairing
• Properties of multiterminal superconducting nanostructure with double quantum dot
• Long-range Cooper pair splitting by chiral Majorana edge states
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots