RELATION BETWEEN THE CORRELATION DIMENSIONS OF MULTIFRACTAL WAVE-FUNCTIONS AND SPECTRAL MEASURES IN INTEGER QUANTUM HALL SYSTEMS

被引：123

作者：

HUCKESTEIN, B ^{[1
]}

SCHWEITZER, L ^{[1
]}

机构：

[1] PHYS TECH BUNDESANSTALT,D-38116 BRAUNSCHWEIG,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.72.713

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the time evolution of wave packets of noninteracting electrons in a two-dimensional disordered system in strong magnetic field. For wave packets built from states near the metal-insulator transition in the center of the lowest Landau band we find that the return probability to the origin p(t) decays algebraically, p(t) is similar to t-D2/2, with a nonconventional exponent D2/2. D2 is the generalized dimension describing the scaling of the second moment of the wave function. We show that the corresponding spectral measure is multifractal and that the exponent D2/2 equals the generalized dimension D2 of the spectral measure.

引用

页码：713 / 716

页数：4

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