Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise

Details Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise

2003-01-15

arxiv.org/abs/cond-mat/0301277v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 2 figures; to appear in the proceedings of the NATO ASI "New Directions in Mesoscopic Physics", Erice, 2002

Scientific paper

We discuss the counting statistics and current noise associated with the double Josephson quasiparticle resonance point in a superconducting single electron transistor. The counting statistics are in general phase-dependent, despite the fact that the average current has no dependence on phase. Focusing on parameter regimes where the counting statistics have no phase-dependence, we use a general relation first derived by MacDonald in 1948 to obtain the full frequency-dependent shot noise directly from the counting statistics, without any further approximations. We comment on problems posed by the phase-dependence of the counting statistics for the finite-frequency noise.

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