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| 二维Fibonacci准晶电子能谱 | |
| 引用本文： | 傅秀军,程波林,郑大昉,刘有延. 二维Fibonacci准晶电子能谱[J]. 物理学报, 1991, 40(10): 1666-1676 |
| 作者姓名： | 傅秀军 程波林 郑大昉 刘有延 |
| 作者单位： | (1)华南理工大学应用物理系,广州,510641; (2)内蒙古师范大学物理系,呼和浩特,010022 |
| 摘 要： | 基于重整化群技术,我们用分解-消元方法研究二维Fibonacci准晶电子能谱性质,得到了具有多种分支结构的能谱,这与一维Fibonacci的单一分支结构完全不同。同时,利用晶格的四重旋转对称性将哈密顿量化简,然后进行数值模拟计算,计算结果与分析结果完全一致。关键词： |
| 关 键 词： | 准晶 电子 能谱 Fibonacci |
| 收稿时间： | 1990-12-18 |
ELECTRONIC SPECTRUM OF TWO-DIMENSIONAL FIBONACCI QUASICRYSTALS |
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| FU XIU-JUN,CHENG BO-LIN,ZHENG DA-FANG and LIU YOU-YAN. ELECTRONIC SPECTRUM OF TWO-DIMENSIONAL FIBONACCI QUASICRYSTALS[J]. Acta Physica Sinica, 1991, 40(10): 1666-1676 | |
| Authors: | FU XIU-JUN CHENG BO-LIN ZHENG DA-FANG LIU YOU-YAN |
| Abstract: | By means of the decomposition-decimation method based on the renormalization-group technique, we have studied the properties of electronic energy spectrum for the two-dimensional Fibonacci quasicrystals. It is found that the spectrum has a multifurcating structure which is very different from the monofurcating structure of one-dimensional Fibonacci quasicrystals. By using the four-fold symmetry of the Fibonacci quasilattice under study, we have reduced the Hamiltonian and then performed a numerical simulation, the results of which are consistent with the analytical ones. |
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