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

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

1994-02-22

arxiv.org/abs/cond-mat/9402093v1

Physics

Condensed Matter

9 pages, Latex, 6 PostScript figures in uuencoded compressed tar file are appended

Scientific paper

10.1103/PhysRevB.49.14726

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 $\nu=1.34$ are computed.

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