English

Frequency-dependent counting statistics in interacting nanoscale conductors

Mesoscale and Nanoscale Physics 2011-04-05 v3

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0703781,
  title  = {Frequency-dependent counting statistics in interacting nanoscale conductors},
  author = {C. Emary and D. Marcos and R. Aguado and T. Brandes},
  journal= {arXiv preprint arXiv:cond-mat/0703781},
  year   = {2011}
}

Comments

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

R2 v1 2026-07-22T11:45:10.451Z