Statistics of Conductance and Shot-Noise Power for Chaotic Cavities
H.J. Sommersa, W. Wieczoreka and D.V. Savinb
a Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany
b Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK
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Received: 25 05 2007;
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.
DOI: 10.12693/APhysPolA.112.691
PACS numbers: 73.23.-b, 73.50.Td, 05.45.Mt, 73.63.Kv