Distribution of linear statistics in random matrix models (metallic conductance fluctuations)
- 18 April 1994
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 6 (16) , 3039-3044
- https://doi.org/10.1088/0953-8984/6/16/009
Abstract
In this paper the distribution of linear statistics in random matrix models is evaluated in the large-N approximation. The distribution function is found to be a Gaussian, but with a mean and mode, which depend on the single-particle potential, that do not coincide, albeit with a vanishingly small discrepancy in the limit of a perfect conductor.Keywords
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