Application of the Method of Transfer-Matrix to Two- and Three-Dimensional Lattices with Defects
Application of the Method of Transfer-Matrix to Two- and Three-Dimensional Lattices with Defects
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传递矩阵方法在二维和三维缺陷晶格中的应用
DOI：
10.1143/ptps.23.59
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发表时间：
1962
影响因子：
--
通讯作者：
T. Asahi
中科院分区：
文献类型：
--
作者：
T. Asahi
由Hori和Asahi提出的处理一维无序晶格振动问题的传递矩阵方法也适用于高维情况。以具有同位素点缺陷的方格和立方格为例进行了处理。这种方法对研究正常振动的波形特别有效。结果表明，正常振动一般包含局部分布在杂质周围的部分波。带内模式和所谓的局域模式的区别仅仅在于后者仅由这种部分波组成。
The method of transfer-matrix which was devised by Hori and Asahi to treat the problem of vibration of one-dimensional disordered lattice, is shown to be applicable also to higher dimensional cases. As examples square and cubic lattices with isotopic point defects are treated. The method is particularly effective to investigate the wave forms of normal vibrations. It is shown that the normal vibrations in general contain partial waves which are localized around the impurities. The difference between in-band modes and so-called localized modes is merely that the latter are composed of such partial waves only.