Frequency-dependent counting statistics in interacting nanoscale conductors

Details Frequency-dependent counting statistics in interacting nanoscale conductors Frequency-dependent counting statistics in interacting nanoscale conductors

2007-03-29

arxiv.org/abs/cond-mat/0703781v3

Phys. Rev. B 76, 161404(R) (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, improved figures & discussion. J-ref added

Scientific paper

10.1103/PhysRevB.76.161404

We present a formalism to calculate finite-frequency current correlations in interacting nanoscale conductors. We work within the n-resolved density matrix approach and obtain a multi-time cumulant generating function that provides the fluctuation statistics, solely from the spectral decomposition of the Liouvillian. We apply the method to the frequency-dependent third cumulant of the current through a single resonant level and through a double quantum dot. Our results, which show that deviations from Poissonian behaviour strongly depend on frequency, demonstrate the importance of finite-frequency higher-order cumulants in fully characterizing interactions.

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