MULTIFRACTAL WAVE-FUNCTIONS AT THE ANDERSON TRANSITION

被引：226

作者：

SCHREIBER, M

GRUSSBACH, H

机构：

[1] Institut für Physikalische Chemie, Johannes-Gutenberg-Universität Mainz, 6500 Mainz

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 05期

关键词：

DIMENSIONAL DISORDERED-SYSTEMS; FRACTAL DIMENSIONALITY; EXTENDED STATES; MAGNETIC-FIELD; MOBILITY EDGE; EXPONENTS; WAVEFUNCTIONS; LOCALIZATION; CHARACTER; NUMBER;

D O I：

10.1103/PhysRevLett.67.607

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Electronic wave functions in disordered systems are studied within the Anderson model of localization. At the critical disorder in 3D we diagonalize very large (103 823 x 103 823) secular matrices by means of the Lanczos algorithm. On all length scales the obtained strong spatial fluctuations of the amplitude of the eigenstates display a multifractal character, reflected in the set of generalized fractal dimensions and the singularity spectrum of the fractal measure. An analysis of 1 D systems shows multifractality too, in contrast to previous claims.

引用

页码：607 / 610

页数：4

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