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Crossed Andreev Reflection and Charge Imbalance in Diffusive Normal-Superconducting-Normal Structures

Dmitri S. Golubev, Mikhail S. Kalenkov, Andrei D. Zaikin

DOI 10.1103/PhysRevLett.103.067006 · Physical Review Letters

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Abstract

We formulate a microscopic theory of nonlocal electron transport in three-terminal diffusive normal-superconducting-normal (NSN) structures with arbitrary interface transmissions. At low energies ε, we predict strong enhancement of nonlocal spectral conductance g12∝1/ε due to quantum interference of electrons in disordered N terminals. In contrast, nonlocal resistance R12 remains smooth at small ε and, furthermore, is found to depend neither on parameters of normal-superconducting interfaces nor on those of N terminals. At higher temperatures, R12 exhibits a peak caused by the trade-off between charge imbalance and Andreev reflection. Our results are in a good agreement with recent experimental observations and can be used for quantitative analysis of future experiments.

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