SPATIAL MULTIFRACTAL PROPERTIES OF WAVE-PACKETS IN THE ANDERSON MODEL OF LOCALIZATION

被引:11
作者
GRUSSBACH, H
SCHREIBER, M
机构
[1] Institut fur Physikalische Chemie, Johannes-Gutenberg-Universitat, D-55099 Mainz
来源
PHYSICAL REVIEW B | 1993年 / 48卷 / 09期
关键词
D O I
10.1103/PhysRevB.48.6650
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The multifractal properties of electronic wave functions in disordered samples are investigated. In a given energy range all eigenstates are determined for the same disorder configuration in the Anderson model of localization. It is shown that the singularity spectrum and the generalized dimensions change only slowly with energy, aside from statistical fluctuations. More important, the wave packet constructed by linear combination of the eigenstates shows quantitatively the same multifractal properties. Consequences for the transport properties of electronic-states in disordered systems are discussed.
引用
收藏
页码:6650 / 6653
页数:4
相关论文
共 26 条
[11]  
HUCKESTEIN B, 1992, SPRINGER SERIES SOLI, V101, P84
[12]  
KRAMER B, 1990, PHYSICA A, V167
[14]  
Mott NF., 1979, ELECT PROCESSES NONC
[15]   INVERSE PARTICIPATION NUMBER AND FRACTAL DIMENSIONALITY OF ELECTRONIC STATES IN A 2 DIMENSIONAL SYSTEM IN STRONG PERPENDICULAR MAGNETIC-FIELD [J].
ONO, Y ;
OHTSUKI, T ;
KRAMER, B .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (05) :1705-1716
[16]  
ONO Y, 1992, SOLID STATE SCI, V101, P60
[17]   MULTIFRACTALITY AND SCALING IN DISORDERED MESOSCOPIC SYSTEMS [J].
POOK, W ;
JANSSEN, M .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 82 (02) :295-298
[18]   FRACTAL CHARACTER OF EIGENSTATES IN WEAKLY DISORDERED 3-DIMENSIONAL SYSTEMS [J].
SCHREIBER, M .
PHYSICAL REVIEW B, 1985, 31 (09) :6146-6149
[19]   MULTIFRACTAL WAVE-FUNCTIONS AT THE ANDERSON TRANSITION [J].
SCHREIBER, M ;
GRUSSBACH, H .
PHYSICAL REVIEW LETTERS, 1991, 67 (05) :607-610
[20]   FRACTAL EIGENSTATES IN DISORDERED-SYSTEMS [J].
SCHREIBER, M .
PHYSICA A, 1990, 167 (01) :188-198