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一族一维准晶的局部电子性质
引用本文:颜晓红,颜家壬,钟建新,游建强.一族一维准晶的局部电子性质[J].物理学报,1992,41(10):1652-1660.
作者姓名:颜晓红  颜家壬  钟建新  游建强
作者单位:湘潭大学科学技术研究所,湘潭411105
摘    要:本文利用推广的实空间重整化群方法,研究按膨胀规则(A,B)→(AnB,A)构造的一族一维泛Fibonacci准晶系(An序列)的局部电子性质。所引入的2n2+1种基本变换可计算该族一维准晶中任一An序列在任意格点的局部格林函数和局部态密度。结果表明,该方法是有效的,An链的电子局部态密度象Fibonacci准晶一样,呈现临界性。 关键词

关 键 词:准晶体  电子  局域态密度
收稿时间:1991-09-25

LOCAL ELECTRONIC PROPERTIES OF A CLASS OF ONE-DIM-ENSIONAL QUASICRYSTALS
YAN XIAO-HONG,YAN JIA-REN,ZHONG JIAN-XIN and YOU JIAN-QIANG.LOCAL ELECTRONIC PROPERTIES OF A CLASS OF ONE-DIM-ENSIONAL QUASICRYSTALS[J].Acta Physica Sinica,1992,41(10):1652-1660.
Authors:YAN XIAO-HONG  YAN JIA-REN  ZHONG JIAN-XIN and YOU JIAN-QIANG
Abstract:Using the extended real-space renormalizaation-group approach, we study the local electr-onic properties of a class of one-dimensional quasicrystals (the generalized Fibonacci chains) in the framework of tight-binding model. These quasiperiodic systems are termed the An chains, which are associated with the sequences generated by the inflation rule (A, B)→(AnB, A). We introduce 2n2+1 transformations for calculating the local electronic Green's function and the local electronic density of state at any site in any one of An chains for the diagonal, offdiago-nal and combined models. It is shown that this approach is effective and the local electronic density of states is critical, just as that of Fibonacci quasicrystal.
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