中国物理B ›› 1992, Vol. 1 ›› Issue (2): 113-122.doi: 10.1088/1004-423X/1/2/005

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ON THE LOCALIZATION OF ELECTRONIC STATES IN ONE-DIMENSIONAL QUASILATTICES

刘有延1, 邓文基2, 黄秀清3   

  1. (1)Department of Physics, South China University of Technology, Guangzhou 510641, China; (2)Department of Physics, South China University of Technology, Guangzhou 510641; Department of Physics, Nanjing University, Nanjing 210008, China; (3)Nanchang Army College, Nanchang 330103, China
  • 收稿日期:1991-06-25 出版日期:1992-02-20 发布日期:1992-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

ON THE LOCALIZATION OF ELECTRONIC STATES IN ONE-DIMENSIONAL QUASILATTICES

DENG WEN-JI (邓文基)a, LIU YOU-YAN (刘有延)b, HUANG XIU-QING (黄秀清)c   

  1. a Department of Physics, South China University of Technology, Guangzhou 510641; Department of Physics, Nanjing University, Nanjing 210008, China; b Department of Physics, South China University of Technology, Guangzhou 510641, China; c Nanchang Army College, Nanchang 330103, China
  • Received:1991-06-25 Online:1992-02-20 Published:1992-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： For the localization of electronic states of one-dimensional quasilattices, two kinds of methods extensively used (KKT renormalization-group method and numerical simulation methods) have given contradictory, results. In this paper, an approach based on the transfer matrix method is adopted to deal with this problem in general. We confirm that the above two methods describe the ideal infinite quasilattices in different asymptotical ways. so different results are obtained. We also study analytically the localization of the zero-energy electronic states of the one-dimensional quasilattices, and provide some new results different from that of the previous work.

Abstract: For the localization of electronic states of one-dimensional quasilattices, two kinds of methods extensively used (KKT renormalization-group method and numerical simulation methods) have given contradictory, results. In this paper, an approach based on the transfer matrix method is adopted to deal with this problem in general. We confirm that the above two methods describe the ideal infinite quasilattices in different asymptotical ways. so different results are obtained. We also study analytically the localization of the zero-energy electronic states of the one-dimensional quasilattices, and provide some new results different from that of the previous work.

中图分类号:  (Point defects and defect clusters)

  • 61.72.J-
78.30.Hv (Other nonmetallic inorganics) 61.80.Cb (X-ray effects)