Localization transition in three dimensions: Monte Carlo simulation of a nonlinear sigma model

被引:3
|
作者
Dupre, T
机构
[1] Institut für Theoretische Physik der Universität zu Köln
关键词
D O I
10.1103/PhysRevB.54.12763
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a combination of analytical and numerical calculations for the critical behavior of a supersymmetric nonlinear sigma model. This toy model is expected to describe at least qualitatively the localization transition of a disordered one-electron system. As a result, we obtain a localization length exponent and a set of inverse participation numbers in three dimensions. We find a continuous phase transition with the features of one-parameter scaling and multifractality at the critical point.
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收藏
页码:12763 / 12774
页数:12
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