Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects

Christian Flindt, Tomás Novotny, Alessandro Braggio, Antti-Pekka Jauho

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    Abstract

    Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of transferred charges, the so-called full counting statistics. These experimental advances call for a solid theoretical platform for equally accurate calculations of distribution functions and their cumulants. Here we develop a general framework for calculating zero-frequency current cumulants of arbitrary orders for transport through nanostructures with strong Coulomb interactions. Our recursive method can treat systems with many states as well as non-Markovian dynamics. We illustrate our approach with three examples of current experimental relevance: bunching transport through a two-level quantum dot, transport through a nanoelectromechanical system with dynamical Franck-Condon blockade, and transport through coherently coupled quantum dots embedded in a dissipative environment. We discuss properties of high-order cumulants as well as possible subtleties associated with non-Markovian dynamics.
    Original languageEnglish
    JournalPhysical Review B Condensed Matter
    Volume82
    Issue number15
    ISSN0163-1829
    DOIs
    Publication statusPublished - 2010

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