Nonlinear statistics of quantum transport in chaotic cavities

  • Savin D
  • Sommers H
  • Wieczorek W
  • 11


    Mendeley users who have this article in their library.
  • 42


    Citations of this article.


In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eigenvalues are calculated analytically up to the fourth order. As a result, we derive exact explicit expressions for the skewness and kurtosis of the conductance and transmitted charge as well as for the variance of the shot-noise power in chaotic cavities. The obtained results are generally valid at arbitrary numbers of propagating channels in the two attached leads. In the particular limit of large (and equal) channel numbers, the shot-noise variance attends the universal value 1/64 beta that determines a universal Gaussian statistics of shot-noise fluctuations in this case

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • D. V. Savin

  • H. J. Sommers

  • W. Wieczorek

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free