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

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

2010-02-24

arxiv.org/abs/1002.4506v2

Phys. Rev. B 82, 155407 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

27 pages, 8 figures, 1 table, final version as published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.82.155407

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.

Affiliated with

Also associated with

No associations

Rating

Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260563