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http://bura.brunel.ac.uk/handle/2438/8906
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. |
URI: | http://journals.aps.org/prb/abstract/10.1103/PhysRevB.77.125332 http://bura.brunel.ac.uk/handle/2438/8906 |
DOI: | http://dx.doi.org/10.1103/PhysRevB.77.125332 |
ISSN: | 1098-0121 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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