Skip to main content
SpringerLink
Log in

Electronic properties of one-dimensional quasilattices

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We study the on-site model of a new class of one-dimensional qusiperiodic lattices, for which the substitution rules areB→BA, andA→BAB. By means of the renormalization-group approach, a interesting multifractal specrral behavior has been found, which has been confirmed by numerical simulation. A Cantor-like energy spectra is obtained by using the Kohmoto-Kadanaff-Tang (KKT) renormalization-group method. Three kinds of wave-function behavior (extended, localized, and intemediate states) are definitely found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Shechtman, D., Blech, I., Gratias, D., Cahn, J.W.: Phys. Rev. Lett.53, 1951 (1984)

    Google Scholar 

  2. Merlin, R., Bajima, K., Clarke, R., Juang, F.Y., Bhattacharya, P.K.: Phys. Rev. Lett.55, 1768 (1985)

    Google Scholar 

  3. Kohmoto, M., Kadanoff, L.P., Tang, C.: Phys. Rev. Lett.50, 1870 (1983)

    Google Scholar 

  4. Ostlund, S., Pandit, R., Rand, D., Schellnhuber, H., Siggia, E.: Phys. Rev. Lett.50, 1873 (1983)

    Google Scholar 

  5. Kohmoto, M., Sutherland B.: Phys. Rev. B34, 5043 (1986)

    Google Scholar 

  6. Niu, Q., Nori, F.: Phys. Rev. Lett.57, 2057 (1986)

    Google Scholar 

  7. Odagaki, T., Nguyen, D.: Phys. Rev. B32, 2184 (1986)

    Google Scholar 

  8. Zheng, W.M.: Phys. Rev. A35, 1467 (1987)

    Google Scholar 

  9. Liu, Y.Y., Riklund, R.: Phys. Rev. B35, 6034 (1987)

    Google Scholar 

  10. Liu, Y.Y., Sritrakool, W.: Phys. Rev. B43, 1110 (1991)

    Google Scholar 

  11. Liu, Y.Y., Fu, X.J., Deng, W.J., Wang, S.Z.: Phys. Rev. B6, 9216 (1992)

    Google Scholar 

  12. Elser, V.: Acta Crystallogr. A42, 36 (1986)

    Google Scholar 

  13. Gumbs, G., Ali, M.K.: Phys. Rev. Lett.60, 1081 (1988); J. Phys. A21, L517 (1988)

    Google Scholar 

  14. Kolar, M., Ali, M.K.: Phys. Rev. B39, 426 (1989); ibid Kolar, M., Ali, M.K.: Phys. Rev.41, 7108 (1990)

    Google Scholar 

  15. Holzer, M.: Phys. Rev. B38, 1709 (1988)

    Google Scholar 

  16. You, J.Q., Yang, Q.B.: Phys. Rev. B41, 7073 (1990)

    Google Scholar 

  17. Severin, M., Riklund, R.: Phys. Rev. B39, 10362 (1989)

    Google Scholar 

  18. Kolar, M., Nori, F.: Phys. Rev. B42, 1062 (1990)

    Google Scholar 

  19. Riklund, R., Severin, M., Liu, Y.: J. Mod. Phys. B1, 121 (1987)

    Google Scholar 

  20. Liu, Y.Y., Fu, X.J., Han, H., Cheng, B.L., Luan, C.F.: Phys. Rev. B43, 13204 (1991)

    Google Scholar 

  21. Huang, X.Q., Liu, Y.Y.: Chin. Phys. Lett.9, 609 (1992)

    Google Scholar 

  22. Lee, P.A., Ramakrishnan, T.V.: Rev. Mod. Phys.57, 287 (1985)

    Google Scholar 

  23. Ma, P.H., Liu, Y.Y.: Phys. B39, 10658 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CCAST (World Laboratory), P.O. Box 8730, 10080, Beijing, People's Republic of China

    X. Q. Huang

  2. Department of Physics, Zhongshan (Sun Yatsen) University, 110015, Guangzhou, People's Republic of China

    X. Q. Huang & D. Mo

  3. Academia Sinica, International Center for materials Physics, 11015, Shenyang, People's Republic of China

    Y. Y. Liu

  4. Department of Physics, South China University of Technology, 510641, Guangzhou, People's Republic of China

    Y. Y. Liu

Authors
  1. X. Q. Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. Y. Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Mo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, X.Q., Liu, Y.Y. & Mo, D. Electronic properties of one-dimensional quasilattices. Z. Physik B - Condensed Matter 93, 103–108 (1993). https://doi.org/10.1007/BF01308813

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308813

PACS

Search

Navigation