Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-01-26
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
35 pages, 12 figures, for "Quantum Noise", edited by Yu. V. Nazarov and Ya. M. Blanter (Kluwer)
Scientific paper
The review is given of the calculational schemes that allows for easy evaluation of full current statistics (FCS) in multi-terminal mesoscopic systems. First, the scattering approach by Levitov {\it et.al} to FCS is outlined. Then the multi-terminal FCS of the non-interacting electrons is considered. We show, that this theory appears to be a circuit theory of $2\times 2$ matrices associated with Keldysh Green functions. Further on the FCS in the opposite situation of mesoscopic systems placed in a strong Coulomb blockade limit is discussed. We prove that the theory of FCS in this case turns out to be an elegant extension of the master equation approach. We illustrate both methods by applying them to the various three-terminal circuits. We study the FCS of electron transfer in the three-terminal chaotic quantum dot and compare it with the statistics of charge transfer in the Coulomb blockade island with three leads attached. We demonstrate that Coulomb interaction suppresses the relative probabilities of big current fluctuations. Finally, for the generic case of single resonance level the equivalence of scattering and master equation approach to FCS is established.
Bagrets Dmitri A.
Nazarov Yuli V.
No associations
LandOfFree
Multiterminal counting statistics 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 Multiterminal counting statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiterminal counting statistics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-496939