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arXiv · 1002.4506

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

Christian Flindt·Tomas 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 nano-electromechanical 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.

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Christian Flindt, Tomas Novotny, Alessandro Braggio, Antti-Pekka Jauho. 2010-10-06. Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects. https://doi.org/10.1103/physrevb.82.155407

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