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Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model

E. Hofstetter·M. Schreiber
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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 $W_{c}=16.5$ and the critical exponent $ν=1.34$ are computed.

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E. Hofstetter, M. Schreiber. 1994-02-22. Relation between Energy Level Statistics and Phase Transition and its Application to the Anderson Model. https://doi.org/10.1103/physrevb.49.14726

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