Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model
E. Hofstetter, M. Schreiber
Abstract
A general method to describe a second-order phase transition is discussed. It starts from the energy level statistics and uses of finite-size scaling. It is applied to the metal-insulator transition (MIT) in the Anderson model of localization, evaluating the cumulative level-spacing distribution as well as the Dyson-Metha statistics. The critical disorder Wc=16.5 and the critical exponent ν=1.34 are computed.
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