Unitary limit in crossed Andreev transport

Abstract

One of the most promising approaches of generating spin- and energy-entangled electron pairs is splitting a Cooper pair into the metal through spatially separated terminals. Utilizing hybrid systems with the energy-dependent barriers at the superconductor-normal metal interfaces, one can achieve practically 100% efficiency outcome of entangled electrons. We investigate minimalistic one-dimensional model comprising a superconductor and two metallic leads and derive an expression for an electron-to-hole transmission probability as a measure of splitting efficiency. We find the conditions for achieving 100% efficiency and present analytical results for the differential conductance and differential noise.

8 pages, 6 figures; minor corrections

References in corpus (8)

• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Near-unity Cooper pair splitting efficiency
• Cooper Pair Splitting by means of Graphene Quantum Dots
• Scattering matrix approach to the description of quantum electron transport
• Current and noise correlations in a double dot Cooper pair beam splitter
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• Long-range Cooper pair splitter with high entanglement production rate
• Continuously Tunable Charge in Andreev Quantum Dots

Cited by in corpus (10)

• Electron Waiting Times of a Cooper Pair Splitter
• Crossed Andreev reflection in altermagnets
• Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling
• Valley-based Cooper Pair Splitting via Topologically Confined Channels in Bilayer Graphene
• Scattering description of Andreev molecules
• Noise and full counting statistics of a Cooper pair splitter
• Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads
• Electron waiting times in hybrid junctions with topological superconductors
• Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors
• Efficient Cooper Pair Splitting Without Interactions