中国物理B ›› 1995, Vol. 4 ›› Issue (7): 510-522.doi: 10.1088/1004-423X/4/7/005

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ELECTRONIC ENERGY SPECTRUM STRUCTURE OF THE TWO-DIMENSIONAL FIBONACCI QUASILATTICES WITH THREE KINDS OF ATOMS AND ONE KIND OF BOND LENGTH

刘有延1, 杨湘波2   

  1. (1)International Center of Materials Physics, Academia Sinica, Shenyang 110015, China; Department of Physics, South China University of Technology, Guangzhou 510641, China; (2)
  • 收稿日期:1994-05-17 修回日期:1994-12-04 出版日期:1995-07-20 发布日期:1995-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China, and in part by the Inter-national program on Physical Science, Sweden.

ELECTRONIC ENERGY SPECTRUM STRUCTURE OF THE TWO-DIMENSIONAL FIBONACCI QUASILATTICES WITH THREE KINDS OF ATOMS AND ONE KIND OF BOND LENGTH

YANG XIANG-BO (杨湘波)a, LIU YOU-YAN (刘有延)b   

  1. a Physics Group, Guangdong Institute of Technology, Guangzhou 510090, China; Department of Physics, South China University of Technology, Guangzhou 510641, China; b International Center of Materials Physics, Academia Sinica, Shenyang 110015, China; Department of Physics, South China University of Technology, Guangzhou 510641, China
  • Received:1994-05-17 Revised:1994-12-04 Online:1995-07-20 Published:1995-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China, and in part by the Inter-national program on Physical Science, Sweden.

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摘要： After establishing the method of constructing a class of two-dimensional Fibonacci quasi-lattices, by means of a decomposition-decimation method based on the renormalization-group technique, we have studied the rule. of energy spectrum splitting for the two-dimensional Fibonacci quasilattices in the framework of single-electron tight-binding on-site model. Analytic results show that there are only six kinds of clusters and the electronic energy band consists of nine subbands.

Abstract: After establishing the method of constructing a class of two-dimensional Fibonacci quasi-lattices, by means of a decomposition-decimation method based on the renormalization-group technique, we have studied the rule. of energy spectrum splitting for the two-dimensional Fibonacci quasilattices in the framework of single-electron tight-binding on-site model. Analytic results show that there are only six kinds of clusters and the electronic energy band consists of nine subbands.

中图分类号:  (Quasicrystals)

  • 71.23.Ft
71.15.Ap (Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.))