Unitary limit in crossed Andreev transport
I. A. Sadovskyy, G. B. Lesovik, V. M. Vinokur
TL;DR
This paper analyzes a minimal 1D superconductor-normal metal system to identify conditions for perfect entangled electron pair splitting, providing analytical expressions for conductance and noise.
Contribution
It derives conditions for 100% efficiency in electron pair splitting using energy-dependent barriers in a simplified model.
Findings
Achieves conditions for perfect splitting efficiency.
Provides analytical formulas for conductance and noise.
Identifies the role of energy-dependent barriers.
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.
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