Microscopic theory of Cooper pair beam splitters based on carbon nanotubes

A. Levy Yeyati; P. Burset; W. J. Herrera

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Microscopic theory of Cooper pair beam splitters based on carbon nanotubes

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arxiv 1104.3130 v1 pith:7DAWGUUL submitted 2011-04-15 cond-mat.mes-hall cond-mat.supr-con

P. Burset , W. J. Herrera , A. Levy Yeyati This is my paper

classification cond-mat.mes-hallcond-mat.supr-con

keywords carboncooperefficiencypairregimesplittingsuperconductinganalyze

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abstract

We analyze microscopically a Cooper pair splitting device in which a central superconducting lead is connected to two weakly coupled normal leads through a carbon nanotube. We determine the splitting efficiency at resonance in terms of geometrical and material parameters, including the effect of spin-orbit scattering. While the efficiency in the linear regime is limited to 50% and decay exponentially as a function of the width of the superconducting region we show that it can rise up to $\sim 100%$ in the non-linear regime for certain regions of the stability diagram.

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