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)→(AB,A)构造的一族一维泛Fibonacci准晶系(A序列)的局部电子性质。所引入的2n^2+1种基本变换可计算该族一维准晶中任一A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,A链的电子局部态密度象Fibonacci准晶一样,呈现临界性。
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1992年第10期1652-1660,共9页
Acta Physica Sinica
基金
国家自然科学基金
