论文标题
斐波那契链上紧密绑定模型的光学响应
Optical response of the tightbinding model on the Fibonacci chain
论文作者
论文摘要
理论上，我们研究了紧密结合模型的光导率，该模型具有在斐波那契序列中排列的两种类型的跳跃积分。由于缺乏平移对称性，许多峰结构出现在光导率以及状态的密度中。当两个跳跃积分的比率很大时，相似的结构将出现在光导率中。这意味着高能带之间的光学响应与低能带中的光学响应有关，这应源自波函数中的临界行为。还分析了疾病对光学电导率的影响，以表明使用随机序列的紧密结合模型中没有自相似性。
We theoretically study the optical conductivity of the tightbinding model which has two types of the hopping integrals arranged in the Fibonacci sequence. Due to the lack of the translational symmetry, many peak structures appear in the optical conductivity as well as the density of states. When the ratio of two hopping integrals is large, the self-similar structure appears in the optical conductivity. This implies that the optical response between the high-energy bands is related to that within the low-energy bands, which should originate from critical behavior in the wave functions. The effects of disorders on the optical conductivity are also analyzed in order to show the absence of the self-similarity in the tightbinding model with the random sequence.
