Correlation of eigenstates in the critical regime of quantum Hall systems
Correlation of eigenstates in the critical regime of quantum Hall systems
复制标题
量子霍尔系统临界区本征态的相关性
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
P. Freche
中科院分区：
文献类型：
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作者：
Krystian Pracz;M. Janssen;P. Freche
通过数值计算两个不同能量下本征态的局域振幅的相关性，推广了量子霍尔系统临界波函数统计的多重分形分析.我们的研究结果证实了多重分形标度关系，这是不同于那些发生在传统的临界现象。对应于典型振幅的临界指数，给出了本征态临界行为的几乎完整的表征，包括相关性。我们的结果支持解释的局域态密度是一个有序参数的安德森转变。
We extend the multifractal analysis of the statistics of critical wave functions in quantum Hall systems by calculating numerically the correlations of local amplitudes corresponding to eigenstates at two different energies. Our results confirm multifractal scaling relations which are different from those occurring in conventional critical phenomena. The critical exponent corresponding to the typical amplitude, , gives an almost complete characterization of the critical behaviour of eigenstates, including correlations. Our results support the interpretation of the local density of states being an order parameter of the Anderson transition.