一维准周期体系中的电子延展态

本文采用动力学映象方法,研究了作为泛Fibonacci序列一个子集的一系列一维准周期体系的电子性质,该一维准周期体系S_∞由递推公式S_l+1=S_l^2j-1S_l-1²ⁱ构造,其中l≥1,i,j为正整数,初始条件为S₀和S₁,结果表明,该一维准周期体系无论是对角模型和非对角模型,都存在电子延展态。关键词：

EXTENDED ELECTRONIC STATES IN A CLASS OF ONE DIMENSIONAL QUASIPERIODIC SYSTEMS

Using the dynamical-map method, we study the electronic properties for diagonal and off-diagonal tight-binding model in a class of one-dimensional quasiper-iodic systems. These systems are associated with the generalized Fibonacci sequences S_∞ given by the recursion relation S_l+1=S_l^2j-1S_l-1²ⁱ for l≥1 with two initial sequences S₀ and S₁, where i and j are positive integers. Analytical treatments show that the extended electronic states for these one-dimensional quasiperiodic sequences really exist.