Comments on the scaling theory of localization and conduction in disordered systems
- 15 July 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 24 (2) , 1107-1110
- https://doi.org/10.1103/physrevb.24.1107
Abstract
A simple demonstration of the Thouless scaling picture for the conductivity of noninteracting electrons in a disordered potential is presented. This picture, in the one-dimensional case, is shown to be equivalent to the formulation of Landauer. Possible modifications in the numerical procedures which have been used for effecting the scaling transformation are indicated. The dependence of the conductivity dividing the metallic and nonmetallic regimes on the microscopic length scale is obtained and shown to be in agreement with experiments on granular metals and with theoretical arguments by Adkins and Abeles and Sheng.Keywords
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