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| N重旋转对称的二维准晶电子态与声子态的简并性 | |
| 引用本文： | 黄秀清,刘有延,邓文基. N重旋转对称的二维准晶电子态与声子态的简并性[J]. 物理学报, 1992, 41(12): 1972-1979 |
| 作者姓名： | 黄秀清 刘有延 邓文基 |
| 作者单位： | (1)华南理工大学应用物理系,广州510641; (2)中山大学物理系,1992级博士研究生广州510275 |
| 摘 要： | 通过相似变化矩阵,对具有N重旋转对称的二维准晶系统的哈密顿量和动力学矩阵进行对角约化。当N为偶数时,电子态与声子态中有(N-2)/(N+2)是双重简并,而4/(N+2)是非简并;当N为奇数时,电子态与声子态中有(N-1)/(N+1)是双重简并,而2/(N+1)是非简并。利用群论方法得到相同的结论。关键词： |
| 关 键 词： | 准晶体 电子态 声子态 简并 |
| 收稿时间： | 1991-12-06 |
DEGENERACIES OF THE ELECTRONIC AND PHONON STATES OF THE TWO-DIMENSIONAL QUASICRYSTALS WITH N-FOLD ROTATIONAL SYMMETRY |
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| HUANG XIU-QING,LIU YOU-YAN and DENG WEN-JI. DEGENERACIES OF THE ELECTRONIC AND PHONON STATES OF THE TWO-DIMENSIONAL QUASICRYSTALS WITH N-FOLD ROTATIONAL SYMMETRY[J]. Acta Physica Sinica, 1992, 41(12): 1972-1979 | |
| Authors: | HUANG XIU-QING LIU YOU-YAN DENG WEN-JI |
| Abstract: | The similarity transformation is introduced which reduce the hamiltonian and the dynamical matrix of the two-dimensional quasicrystals with A/-fold rotational symmetry. For the degeneracy, when N is even number, N-2 out of N+2 of electronic and phonon states are doubly degenerate and 4 out of N+ 2 are non-degenerate, and as N is odd number, N-1 out of N+1 of electronic and phonon states are doubly degenerate and 2 out of N+1 are nondegene-rate. We use group theory +o study the degeneracies of twodimensional quasicrystals and obtain the same conclusion. |
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