RELATION BETWEEN ENERGY-LEVEL STATISTICS AND PHASE-TRANSITION AND ITS APPLICATION TO THE ANDERSON MODEL

被引:82
作者
HOFSTETTER, E [1 ]
SCHREIBER, M [1 ]
机构
[1] TECH UNIV CHEMNITZ ZWICKAU,FACHBEREICH PHYS,D-09009 CHEMNITZ,GERMANY
来源
PHYSICAL REVIEW B | 1994年 / 49卷 / 20期
关键词
D O I
10.1103/PhysRevB.49.14726
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 W(c) = 16.5 and the critical exponent nu = 1.34 are computed.
引用
收藏
页码:14726 / 14729
页数:4
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