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arxiv: cond-mat/0703781 · v3 · pith:MUKTUIDLnew · submitted 2007-03-29 · ❄️ cond-mat.mes-hall

Frequency-dependent counting statistics in interacting nanoscale conductors

classification ❄️ cond-mat.mes-hall
keywords conductorscumulantcurrentfinite-frequencyfrequency-dependentinteractingnanoscalestatistics
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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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