中国物理B ›› 1994, Vol. 3 ›› Issue (1): 56-63.doi: 10.1088/1004-423X/3/1/007

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ELECTRONIC PROPERTIES FOR A CLASS OF ONE-DIMENSIONAL QUASILATTICES

黄秀清1, 莫党1, 刘有延2   

  1. (1)Department of Physics, Zhongshan University,Guangzhou 510275, China; (2)International Center for Materials Physics, Academia Sinica, Shenyang 110015; Department of Physics, South China University of Technology, Guangzhou 510641, China
  • 收稿日期:1993-03-12 出版日期:1994-01-20 发布日期:1994-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

ELECTRONIC PROPERTIES FOR A CLASS OF ONE-DIMENSIONAL QUASILATTICES

HUANG XIU-QING (黄秀清)a, MO DANG (莫党)a, LIU YOU-YAN (刘有延)b   

  1. a Department of Physics, Zhongshan University,Guangzhou 510275, China; b International Center for Materials Physics, Academia Sinica, Shenyang 110015; Department of Physics, South China University of Technology, Guangzhou 510641, China
  • Received:1993-03-12 Online:1994-01-20 Published:1994-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： We have studied a new class of one-dimensional quasiperiodic lattices, for which the substitution rules are B→BA, and A→BAB. The Kohmoto-Kadenoff-Tang (KKT) renormalization group method has been used to study the asymptotical behavior of the spectrum. It is found that the energy spectra are Cantor-like but have different salf-similarity from that of Fibonacci lattice. By use of several different criteria, three kinds of wave function behavior (extended, localized, and intermediate states) are clearly observed.

Abstract: We have studied a new class of one-dimensional quasiperiodic lattices, for which the substitution rules are B→BA, and A→BAB. The Kohmoto-Kadenoff-Tang (KKT) renormalization group method has been used to study the asymptotical behavior of the spectrum. It is found that the energy spectra are Cantor-like but have different salf-similarity from that of Fibonacci lattice. By use of several different criteria, three kinds of wave function behavior (extended, localized, and intermediate states) are clearly observed.

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.))