Generic model for Cooper pair splitting

Abstract

A superconductor connected to normal leads allows to generate Einstein-Podolsky-Rosen pairs by Cooper pair splitting. It has been realized with quantum dots either defined in carbon nanotubes or InAs nanowires. After establishing the presence of Cooper pair splitting in such devices new works have invesigated the effects of a finite potential difference between the quantum dots to improve and characterize the efficiency of Cooper pair splitting. In this paper we present a generic model for Cooper pair splitting and develop two minimal models specifically for the two experimental realisations and compare them to experimental data. In addition we also explore the relation of nonlocal charge transfer to positive current cross correlation of currents and discuss the temperature dependence of Cooper pair splitting.

12 pages, 8 figures, accepted by IJMP B

References in corpus (17)

• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Near-unity Cooper pair splitting efficiency
• Co-tunneling current and shot noise in quantum dots
• Superconducting proximity effect in interacting double-dot systems
• Reversing non-local transport through a superconductor by electromagnetic excitations
• Sign of the crossed conductances at a FSF double interface
• Current and noise correlations in a double dot Cooper pair beam splitter
• Circuit theory of crossed Andreev reflection
• Non-local Andreev transport through an interacting quantum dot
• Nonlocal Andreev reflection at high transmissions
• Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
• Current noise in molecular junctions: effects of the electron-phonon interaction
• Contact resistance dependence of crossed Andreev reflection
• Dirac Green's function approach to graphene-superconductor junctions with well defined edges
• Self-consistent microscopic calculations for non-local transport through nanoscale superconductors
• Non-equilibrium frequency-dependent noise through a quantum dot: A real time functional renormalization group approach
• Full counting statistics of chiral Luttinger liquids with impurities