Full counting statistics of incoherent Andreev transport
W. Belzig, P. Samuelsson
TL;DR
This paper analyzes the full counting statistics of heterostructures with normal metals connected to a superconductor, showing they can be mapped onto normal systems and deriving general results for superconducting beam splitters.
Contribution
It introduces a method to map incoherent superconductor-normal metal systems onto purely normal systems, enabling new analysis of counting statistics.
Findings
System can be mapped onto a normal system with doubled elements
General results derived for superconducting beam splitters
Method simplifies analysis of incoherent Andreev transport
Abstract
We study the full counting statistics of heterostructures consisting of normal metal parts connected to a superconducting terminal. Assuming that coherent superconducting correlations are suppressed in the normal metals we show, using Keldysh-Nambu Green's functions, that the system can be mapped onto a purely normal system with twice the number of elements. For a superconducting beam splitter with several normal terminals we obtain general results for the counting statistics.
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