Statistics of Conductance and Shot-Noise Power for Chaotic Cavities

H.-J Sommers, W. Wieczorek, D.V. Savin
2007 Acta Physica Polonica. A  
We report on an analytical study of the statistics of conductance, g, and shot-noise power, p, for a chaotic cavity with arbitrary numbers N 1,2 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
more » ... r 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. PACS numbers: 73.23.-b, 73.50.Td, 05.45.Mt, 73.63.Kv
doi:10.12693/aphyspola.112.691 fatcat:nbzj5u57vzepvposiuxixoham4