Abstract

Some of the recent results on the transport properties of small disordered (mesoscopic) metal samples are considered from the viewpoint of the exact electron levels in a given realization of random imurity potential. Statistics of random one-electron energy spectra turns out to be close to the one derived by Dyson for the ensembles of random matrix hamiltonians. This fact, which can be verified by direct calculation, is shown to be sufficient to explain qualitatively most of the results in mesoscopic. Mesoscopic fluctuations of the relaxation time scales (of the widths of one-electron levels) are also considered and are shown to give rise to the alternative contribution to the fluctuations of transport properties.

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