Relation between energy-level statistics and phase transition and its application to the Anderson model
- 15 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 49 (20), 14726-14729
- https://doi.org/10.1103/physrevb.49.14726
Abstract
A general method for describing a second-order phase transition is discussed. It starts with the energy-level statistics and uses finite-size scaling. It is applied to the metal-insulator transition in the Anderson model of localization, evaluating the cumulative level-spacing distribution as well as the Dyson-Metha statistics. The critical disorder =16.5 and the critical exponent ν=1.34 are computed.
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