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Localization of electrons in two-dimensional spatially-correlated random magnetic fields

机译:二维空间相关随机中电子的局域化   磁场

摘要

The localization properties of electrons moving in a plane perpendicular to aspatially-correlated static magnetic field of random amplitude and vanishingmean are investigated. We apply the method of level statistics to theeigenvalues and perform a multifractal analysis for the eigenstates. From thesize and disorder dependence of the variance of the nearest neighbor energyspacing distribution, $P_{W,L}(s)$, a single branch scaling curve is obtained.Contrary to a recent claim, we find no metal-insulator-transition in thepresence of diagonal disorder. Instead, as in the uncorrelated random magneticfield case, conventional unitary behavior (all states are localized) isobserved. The eigenstates at the band center, which in the absence of diagonaldisorder are believed to belong to the chiral unitary symmetry class, are shownto exhibit a $f(\alpha)$-distribution for not too weak random fields. Thecorresponding generalized multifractal dimensions are calculated and found tobe different from the results known for a QHE-system.
机译:研究了电子在垂直于无相关幅度和消失均值的无偶相关静态磁场的平面中的定位特性。我们将水平统计方法应用于特征值,并对特征状态进行多重分形分析。从最近邻居能量间隔分布的变化量的大小和无序依赖性,可以得出单支比例缩放曲线。与最近的说法相反,我们没有发现金属-绝缘体转变对角线障碍的存在。相反,就像在不相关的随机磁场情况下一样,可以观察到常规的单一行为(所有状态都已局部化)。在没有对角线紊乱的情况下,据信带中心的本征态被认为属于手性unit对称性类别,对于不那么弱的随机场,它们表现出$ f(\ alpha)$分布。计算了相应的广义多重分形维数,发现该维数与QHE系统的已知结果不同。

著录项

  • 作者

    Potempa, H.; Schweitzer, L.;

  • 作者单位
  • 年度 1999
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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