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Full counting statistics of Andreev scattering in an asymmetric chaotic cavity

Mihajlo Vanevic·Wolfgang Belzig
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Abstract

We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's function of a chaotic cavity between arbitrary contacts. As an example we discuss the full counting statistics and the first three cumulants for an open asymmetric cavity between a superconductor and a normal-metal lead at temperatures and voltages below the superconducting gap. The third cumulant shows a characteristic sign change as a function of the asymmetry of the two quantum point contacts, which is related to the properties of the Andreev reflection eigenvalue distribution.

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Mihajlo Vanevic, Wolfgang Belzig. 2005-10-13. Full counting statistics of Andreev scattering in an asymmetric chaotic cavity. https://doi.org/10.1103/physrevb.72.134522

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