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Noise and Full Counting Statistics of Incoherent Multiple Andreev Reflection

S. Pilgram, P. Samuelsson

DOI 10.1103/PhysRevLett.94.086806 · Physical Review Letters

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Abstract

We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a superconductor-double-barrier system. It is found that all cumulants of the current show a pronounced subharmonic gap structure at voltages V=2Δ/en. For low voltages V≪Δ/e, the counting statistics results from diffusion of multiple charges in energy space, giving the pth cumulant ⟨Qp⟩∝V2−p, diverging for p≥3. We show that this low-voltage result holds for a large class of incoherent superconducting-normal-superconducting contacts.

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