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Title: Nonlinear statistics of quantum transport in chaotic cavities
Authors: Savin, DV
Sommers, H-J
Wieczorek, W
Keywords: Matrix theory;Selberg's integral;Quantum transport;Chaotic cavities
Issue Date: 2008
Publisher: American Physical Society
Citation: Physical Review B, 77(12): Article no. 125332, 2008
Abstract: 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∕64β that determines a universal Gaussian statistics of shot-noise fluctuations in this case.
Description: Copyright © 2008 The American Physical Society.
ISSN: 1098-0121
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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