Applicability of scaling description to the distribution of mesoscopic fluctuations
BL Altshuler, VE Kravtsov, IV Lerner - Physics Letters A, 1989 - Elsevier
The distribution function for the mesoscopic conductance fluctuations is discussed from the
viewpoint of applicability of the one-parameter scaling. It is shown that the distribution
becomes nonuniversal and the scaling description fails in d= 2 dimensions and in the critical
region in d> 2 dimensions. It is argued that on approaching the region of strong localization
(d= 2) or Anderson transition (d> 2) a crossover should exist from a close-to-gaussian
distribution with logarithmically normal tails to a completely logarithmically normal …
viewpoint of applicability of the one-parameter scaling. It is shown that the distribution
becomes nonuniversal and the scaling description fails in d= 2 dimensions and in the critical
region in d> 2 dimensions. It is argued that on approaching the region of strong localization
(d= 2) or Anderson transition (d> 2) a crossover should exist from a close-to-gaussian
distribution with logarithmically normal tails to a completely logarithmically normal …
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