Random matrix theory and the scaling theory of localization
- 6 August 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (6) , 745-747
- https://doi.org/10.1103/physrevlett.65.745
Abstract
We consider the most probable value of conductance of a disordered quantum conductor in the framework of the random matrix theory developed earlier. Analytic calculations are possible in the metallic as well as strongly localized regimes. We make a simple assumption on the eigenvalue density, as suggested by numerical work, and explore the consequences of a one-parameter distribution. A key result of the one-parameter scaling theory, that there is true metallic behavior only in dimensions greater than two, is recovered naturally.Keywords
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