Sensitivity to initial conditions of the wave-packet dynamics in diluted Anderson chains

被引:18
作者
Albuquerque, S. S.
de Moura, F. A. B. F.
Lyra, M. L. [1 ]
Lazo, E.
机构
[1] Univ FEd Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil
[2] Univ Tarapaca, Fac Ciencias, Dept Fis, Arica, Chile
关键词
Anderson localization; electronic transport; diluted disorder;
D O I
10.1016/j.physleta.2006.03.013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the one-electron wave-packet dynamics in the one-dimensional diluted Anderson model which is composed of two interpenetrating chains with pure and random on-site potentials, respectively. This model presents extended states at a particular resonance energy. Starting with one electron fully localized at the site closer to the chain center, we solve the set of coupled motion equations and calculate the time evolution of the wave-packet width. We report on a long-time memory effect which is reflected by distinct asymptotic dynamics governing the wave-function spread for electrons initially localized at random or pure sites. This anomalous behavior is discussed under the light of the Bloch character of the extended resonant state. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:468 / 472
页数:5
相关论文
共 29 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[2]   Onset of glassy dynamics in a two-dimensional electron system in silicon [J].
Bogdanovich, S ;
Popovic, D .
PHYSICAL REVIEW LETTERS, 2002, 88 (23) :4
[3]  
CEROVSKI VZ, CONDMAT0412618
[4]   ENERGY-TRANSPORT ONE-DIMENSIONAL HARMONIC CHAINS [J].
DATTA, PK ;
KUNDU, K .
PHYSICAL REVIEW B, 1995, 51 (10) :6287-6295
[5]   Delocalization and ballistic dynamics in the two-dimensional Anderson model with long-range correlated disorder [J].
de Moura, FABF ;
Coutinho, MD ;
Lyra, ML ;
Raposo, EP .
EUROPHYSICS LETTERS, 2004, 66 (04) :585-591
[6]   Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models [J].
de Moura, FABF ;
Santos, MNB ;
Fulco, UL ;
Lyra, ML ;
Lazo, E ;
Onell, ME .
EUROPEAN PHYSICAL JOURNAL B, 2003, 36 (01) :81-86
[7]   Comment on "Delocalization in the 1D Anderson model with long-range correlated disorder" - Reply [J].
de Moura, FABF ;
Lyra, ML .
PHYSICAL REVIEW LETTERS, 2000, 84 (01) :199-199
[8]   Delocalization in the 1D Anderson model with long-range correlated disorder [J].
de Moura, FABF ;
Lyra, ML .
PHYSICAL REVIEW LETTERS, 1998, 81 (17) :3735-3738
[9]   Anomalous Anderson localization [J].
Deng, WJ .
PHYSICA B, 2000, 279 (1-3) :224-226
[10]  
Domínguez-Adame F, 2000, PHYS STATUS SOLIDI B, V221, P633, DOI 10.1002/1521-3951(200010)221:2<633::AID-PSSB633>3.0.CO