Crossed Andreev reflection at spin-active interfaces

Abstract

With the aid of the quasiclassical Eilenberger formalism we develop a theory of non-local electron transport across three-terminal ballistic normal-superconducting-normal (NSN) devices with spin-active NS interfaces. The phenomenon of crossed Andreev reflection (CAR) is known to play the key role in such transport. We demonstrate that CAR is highly sensitive to electron spins and yields a rich variety of properties of non-local conductance which we describe non-perturbatively at arbitrary voltages, temperature, spin-dependent interface transmissions and their polarizations. Our results can be applied to multi-terminal hybrid structures with normal, ferromagnetic and half-metallic electrodes and can be directly tested in future experiments.

11 pages, 7 figures; figures 6 and 7 are corrected; version published in Phys. Rev. B

References in corpus (13)

• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Non-Local Correlations in Normal Metal-Superconducting Systems
• Reversing non-local transport through a superconductor by electromagnetic excitations
• Current-current correlations in hybrid superconducting and normal metal multiterminal structures
• Sign of the crossed conductances at a FSF double interface
• Circuit theory of crossed Andreev reflection
• Nonlocal Andreev reflection at high transmissions
• Crossed Andreev reflection in diffusive contacts
• Non-local Andreev reflection in superconducting quantum dots
• Dynamics of spin transport in voltage-biased Josephson junctions
• Thouless energy of a superconductor from non local conductance fluctuations
• Nonlocal transport mediated by nonlocal Hikami boxes: Condensation of evanescent quasiparticles injected into the superconducting gap
• Spin-resolved crossed Andreev reflection in ballistic heterostructures

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• The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications
• Non-local Andreev transport through an interacting quantum dot
• Contact resistance dependence of crossed Andreev reflection
• Theory of superconductor-ferromagnet point contact spectra: the case of strong spin polarization
• Crossed Andreev reflection and charge imbalance in diffusive NSN structures
• Josephson current and Andreev states in superconductor-half metal-superconductor heterostructures
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• Full counting statistics of crossed Andreev reflection
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• Josephson current in ballistic heterostructures with spin-active interfaces
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• Shot noise and Coulomb effects on non-local electron transport in normal-superconducting-normal heterostructures
• Large thermoelectric effect in ballistic Andreev interferometers
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• Charge transfer statistics and entanglement in normal-quantum dot-superconductor hybrid structures
• Cross-correlated shot noise in three-terminal superconducting hybrid nanostructures
• Nonlocal conductance via overlapping Andreev bound states in ferromagnet-superconductor heterostructures
• Non-local Andreev reflection under ac bias
• Interplay between Josephson and Aharonov-Bohm effects in Andreev interferometers
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• A systematic stability analysis of the renormalisation group flow for the normal-superconductor-normal junction of Luttinger liquid wires
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• Phase coherent electron transport in asymmetric cross-like Andreev interferometers
• Spin imbalance in hybrid superconducting structures with spin-active interfaces
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• Magnetization near a constriction between BCS superconductors by spin-dependent tunneling
• Non-local electron transport and Coulomb effects in three-terminal metallic conductors
• Long-range Cooper pair splitting by chiral Majorana edge states
• Efficient Cooper Pair Splitting Without Interactions