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.
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能级统计与相变之间的关系及其在安德森模型中的应用。
DOI：
10.1103/physrevb.49.14726
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Michael Schreiber
中科院分区：
文献类型：
--
作者：
E. Hofstetter;Michael Schreiber
讨论了一种描述二阶相变的通用方法。它从能级统计出发，并利用有限尺寸标度。将其应用于局域化的安德森模型中的金属 - 绝缘体相变（MIT），评估了累积能级间距分布以及戴森 - 梅塔统计。计算出临界无序度$W_{c}=16.5$以及临界指数$\nu = 1.34$。
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.