LOCALIZATION OF ELECTRONS AND ELECTROMAGNETIC-WAVES IN A DETERMINISTIC APERIODIC SYSTEM

被引:79
作者
DULEA, M [1 ]
JOHANSSON, M [1 ]
RIKLUND, R [1 ]
机构
[1] LINKOPING UNIV,DEPT PHYS & MEASUREMENT TECHNOL,S-58183 LINKOPING,SWEDEN
来源
PHYSICAL REVIEW B | 1992年 / 45卷 / 01期
关键词
D O I
10.1103/PhysRevB.45.105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Electron localization and optical transmission in one-dimensional systems with two components distributed according to the Rudin-Shapiro sequence are investigated. The nature of the eigenstates in the diagonal tight-binding model is studied by making use of nonlinear recurrence relations satisfied by the associated transfer matrices and their traces. It is shown that the wave functions display a wide range of features going from weak to exponential localization. Numerical computations lead to the conjecture that the localization property is generic. Nevertheless, a countable dense set of critical values of the on-site potential amplitude is found for which a class of extended states exists. Accordingly, the numerical investigation of the time evolution of the electronic wave packets displays a subdiffusive behavior when the potential amplitude becomes critical. Finally, a study of the optical properties of the Rudin-Shapiro dielectric multilayer shows strong similarities with the behavior of the disordered multilayers regarding the development of gaps in the transmission spectra.
引用
收藏
页码:105 / 114
页数:10
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