MULTIFRACTAL QUANTUM EVOLUTION AT A MOBILITY EDGE

被引：29

作者：

EVANGELOU, SN ^{[1
]}

KATSANOS, DE ^{[1
]}

机构：

[1] RES CTR CRETE, INST ELECTR STRUCT & LASERS, IRAKLION, GREECE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 23期

关键词：

D O I：

10.1088/0305-4470/26/23/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the time evolution of a quantum wavepacket at the Anderson metal-insulator transition using a quasirandom model as an example of a system with a mobility edge. It is demonstrated that the dynamical wavefuunction is multifractal characterized by a continuous set of generalized spectral dimensions mu(q) and we find its alpha - f(alpha) spectra. We also define and calculate an infinite hierarchy of diffusion exponents gamma(q) corresponding to all the displacement moments (\r(t)\q) describing the quantum evolution. A slow subdiffusive decay for the 'staying at the origin probability' (P(t)) averaged over all initial sites is obtained at the mobility edge.

引用

页码：L1243 / L1250

页数：8

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