Superconducting proximity effect in interacting double-dot systems

Abstract

We study subgap transport from a superconductor through a double quantum dot with large on-site Coulomb repulsion to two normal leads. Non-local superconducting correlations in the double dot are induced by the proximity to the superconducting lead, detectable in non-local Andreev transport that splits Cooper pairs in locally separated, spin-entangled electrons. We find that the $I$--$V$ characteristics are strongly asymmetric: for a large bias voltage of certain polarity, transport is blocked by populating the double dot with states whose spin symmetry is incompatible with the superconductor. Furthermore, by tuning gate voltages one has access to splitting of the Andreev excitation energies, which is visible in the differential conductance.

5 pages, 4 figures

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• Aharonov-Bohm and Aharonov-Casher effects for local and nonlocal Cooper pairs
• Aharonov-Bohm and Aharonov-Casher effects in double quantum dot Josephson junction
• Nonlocal Andreev transport through a quantum dot in a magnetic field: Interplay between Kondo, Zeeman, and Cooper-pair correlations
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• Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctions
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• Majorana modes in a triple-terminal Josephson junction with embedded parallel-coupled double quantum dots
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• Efficient Cooper Pair Splitting Without Interactions