Deviations from the Gaussian distribution of mesoscopic conductance fluctuations

Details Deviations from the Gaussian distribution of mesoscopic conductance fluctuations Deviations from the Gaussian distribution of mesoscopic conductance fluctuations

1997-01-28

arxiv.org/abs/cond-mat/9701204v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, Revtex, with eps figures,to appear in Phys Rev B

Scientific paper

10.1103/PhysRevB.55.4710

The conductance distribution of metallic mesoscopic systems is considered. The variance of this distribution describes the universal conductance fluctuations, yielding a Gaussian distribution of the conductance. We calculate diagrammatically the third cumulant of this distribution, the leading deviation from the Gaussian. We confirm random matrix theory calculations that the leading contribution in quasi-one dimension vanishes. However, in quasi two dimensions the third cumulant is negative, whereas in three dimensions it is positive.

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