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Title: Statistics of conductance and shot-noise power for chaotic cavities
Authors: Sommers, H
Wieczorek, W
Savin, DV
Keywords: Selberg's;Shot-noise;Conductance
Issue Date: 2007
Publisher: Polish Academy of Sciences
Citation: Acta Physica Polonica A, 2007, 112 (4), pp. 691 - 697
Abstract: We report on an analytical study of the statistics of conductance, g, and shot-noise power, p, for a chaotic cavity with arbitrary numbers N₁,₂ of channels in two leads and symmetry parameter β = 1,2,4. With the theory of Selberg's integral the first four cumulants of g and first two cumulants of p are calculated explicitly. We give analytical expressions for the conductance and shot-noise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges. For 0<g<1 a power law for the conductance distribution is exact. All results are also consistent with numerical simulations.
ISSN: 0587-4246
Appears in Collections:Dept of Electronic and Computer Engineering Research Papers

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