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Phys. Rev. Lett. 70, 1155 - 1158 (1993)

Universality in the random-matrix theory of quantum transport

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C. W. J. Beenakker
Instituut-Lorentz, University of Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

Received 13 November 1992

A random-matrix formula is derived for the variance of an arbitrary linear statistic on the transmission eigenvalues. The variance is independent of the eigenvalue density and has a universal dependence on the symmetry of the matrix ensemble. The formula generalizes the Dyson-Mehta theorem in the statistical theory of energy levels. It demonstrates that the universality of the conductance fluctuations is generic for a whole class of transport properties in mesoscopic systems.


©1993 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.70.1155
DOI: 10.1103/PhysRevLett.70.1155
PACS: 72.10.Bg, 05.40.+j, 05.60.+w, 74.80.Fp

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