Full counting statistics of chaotic cavities with many open channels

Details Full counting statistics of chaotic cavities with many open channels Full counting statistics of chaotic cavities with many open channels

2007-01-08

arxiv.org/abs/cond-mat/0701141v2

Phys. Rev. B 75, 073304 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figures; v2-added references; typos corrected

Scientific paper

10.1103/PhysRevB.75.073304

Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is based on random matrix theory, and is valid in the limit when both leads have many open channels. For an arbitrary number of open channels we present the third cumulant and an example of non-linear statistics.

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