Physics – Condensed Matter – Superconductivity
Scientific paper
2007-07-25
Phys. Rev. B 76, 184510 (2007)
Physics
Condensed Matter
Superconductivity
10 pages, 5 figures
Scientific paper
10.1103/PhysRevB.76.184510
With the aid of the Keldysh technique we develop a microscopic theory of non-local electron transport in three-terminal NSN structures consisting of a chaotic superconducting quantum dot attached to one superconducting and two normal electrodes. Our theory fully accounts for non-equilibrium effects and disorder in a superconducting terminal. We go beyond perturbation theory in tunneling and derive a general expression for the system conductance matrix which remains valid in both weak and strong tunneling limits. We demonstrate that the proximity effect yields a decrease of crossed Andreev reflection (CAR). Beyond weak tunneling limit the contribution of CAR to the non-local conductance does not cancel that of direct electron transfer between two normal terminals. We argue that temperature dependence of the non-local resistance of NSN devices is determined by the two competing processes -- Andreev reflection and charge imbalance -- and it has a pronounced peak occurring at the crossover between these two processes. This behavior is in a good agreement with recent experimental observations.
Golubev Dmitri S.
Zaikin Andrei D.
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