The statistical properties and electronic transfer coefficients of Fibonacci sequence

被引：2

作者：

Liu Xiao-Liang ^{[1
,2
]}

Huang Xiao-Mei ^{[3
]}

Xu Hui ^{[1
]}

Ren Yi ^{[1
]}

机构：

[1] Cent S Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China

[2] Cent S Univ, Sch Met Sci & Engn, Changsha 410083, Peoples R China

[3] Changsha Elect Power Technol Coll, Dept Elect Power Engn, Changsha 410131, Hunan, Peoples R China

来源：

ACTA PHYSICA SINICA | 2010年 / 59卷 / 06期

关键词：

Fibonacci sequence; statistical properties; electronic transfer coefficient; TRANSPORT-PROPERTIES; LOCALIZATION; TRANSITION;

D O I：

10.7498/aps.59.4202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the Fibonacci sequence constructed by following the inflation rule A -> A13 and B -> A, using the one-dimensional random walk model and Hurst analysis, we calculate numerically the auto-correlation function, the pseudo standard deviation of displacement defined by ourselves and the rescaled range function and investigate systematically the statistical properties. The results are compared with that of one-dimensional random binary sequence. We show that the Fibonacci sequence presents correlated behavior as well as scaling invariability and self-similarity. In addition, basing on the tight-binding model of the single electron and transfer matrix method, we study the charge transfer properties of Fibonacci sequence and discuss specially the dependence of electron transmission on energy and the length of the sequence. We find some resonant peaks can survive in relatively longer Fibonacci sequences than in random sequences, which also implies that there are long-range correlations in Fibonacci sequences

引用

页码：4202 / 4210

页数：9

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