Anomalous diffusion properties of wave packets on quasiperiodic chains

被引：113

作者：

Piechon, F

机构：

[1] UNIV TOULOUSE 3,PHYS QUANT LAB,F-31062 TOULOUSE,FRANCE

[2] UNIV PARIS 11,PHYS SOLIDES LAB,F-91405 ORSAY,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.76.4372

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a perturbative limit, we derive the diffusion properties of initially localized wave packets on the Fibonacci chain. We establish a new relation between generalized diffusion exponents and fractal dimensions of the energy spectrum. We give an argument extending in general to other one dimensional quasiperiodic systems. An illustration is given taking the case of the Harper model.

引用

收藏

页码：4372 / 4375

页数：4

相关论文

共 22 条

[1] FRACTAL DYNAMICS OF ELECTRON WAVE-PACKETS IN ONE-DIMENSIONAL QUASI-PERIODIC SYSTEMS [J].

ABE, S ;

HIRAMOTO, H .

PHYSICAL REVIEW A, 1987, 36 (11) :5349-5352

[2] FRACTAL AND DYNAMICAL PROPERTIES OF THE KICKED HARPER MODEL [J].

ARTUSO, R ;

CASATI, G ;

BORGONOVI, F ;

REBUZZINI, L ;

GUARNERI, I .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1994, 8 (03) :207-235

[3] FRACTAL SPECTRUM AND ANOMALOUS DIFFUSION IN THE KICKED HARPER MODEL [J].

ARTUSO, R ;

CASATI, G ;

SHEPELYANSKY, D .

PHYSICAL REVIEW LETTERS, 1992, 68 (26) :3826-3829

[4] NUMERICAL STUDIES OF LOCALIZATION IN DISORDERED SYSTEMS [J].

EDWARDS, JT ;

THOULESS, DJ .

JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1972, 5 (08) :807-&

[5] MULTIFRACTAL QUANTUM EVOLUTION AT A MOBILITY EDGE [J].

EVANGELOU, SN ;

KATSANOS, DE .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23) :L1243-L1250

[6] NEW CLASS OF LEVEL STATISTICS IN QUANTUM-SYSTEMS WITH UNBOUNDED DIFFUSION [J].

GEISEL, T ;

KETZMERICK, R ;

PETSCHEL, G .

PHYSICAL REVIEW LETTERS, 1991, 66 (13) :1651-1654

[7] SPECTRAL PROPERTIES OF QUANTUM DIFFUSION ON DISCRETE LATTICES [J].

GUARNERI, I .

EUROPHYSICS LETTERS, 1989, 10 (02) :95-100

[8] ON AN ESTIMATE CONCERNING QUANTUM DIFFUSION IN THE PRESENCE OF A FRACTAL SPECTRUM [J].

GUARNERI, I .

EUROPHYSICS LETTERS, 1993, 21 (07) :729-733

[9] MULTIFRACTAL ENERGY-SPECTRA AND THEIR DYNAMICAL IMPLICATIONS [J].

GUARNERI, I ;

MANTICA, G .

PHYSICAL REVIEW LETTERS, 1994, 73 (25) :3379-3382

[10] DYNAMICS OF AN ELECTRON IN QUASIPERIODIC SYSTEMS .1. FIBONACCI MODEL [J].

HIRAMOTO, H ;

ABE, S .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (01) :230-240