Universality in the random-matrix theory of quantum transport
- 22 February 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (8) , 1155-1158
- https://doi.org/10.1103/physrevlett.70.1155
Abstract
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.Keywords
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