Open AccessLOCAL ELECTRONIC PROPERTIES OF A CLASS OF ONE-DIM-ENSIONAL QUASICRYSTALS
Author(s) -
Xin Yan,
Yan Jia-Ren,
Zhong Jian-Xin,
You Jian-Qiang
Publication year - 1992
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.41.1652
Subject(s) - quasicrystal , fibonacci number , quasiperiodic function , physics , class (philosophy) , diagonal , icosahedral symmetry , electronic structure , space (punctuation) , statistical physics , theoretical physics , condensed matter physics , mathematics , combinatorics , computer science , geometry , artificial intelligence , operating system
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.