Skip to main content
Log in

Influence of internal degrees of freedom on the structure of one-dimensional systems

  • Note Brevi
  • Published:
Il Nuovo Cimento D

Summary

The influence of internal degrees of freedom on the behaviour of one-dimensional systems is discussed. For systems with half-filled bands the coupling to internalviz. lattice coordinates decides whether Peierls distortion is caused by intramonomer coordinates or by a lattice coordinate. Thereby the various intramonomer degrees of freedom act cooperatively. We show that there is a small regime of parameters where both kinds of distortion exist simultaneously. For increasing temperature we find that distortions can also move from the lattice coordinate to the intramonomer coordinate.

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

Access this article

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

Instant access to the full article PDF.

References

  1. W. P. Su, J. R. Schrieffer andA. J. Heeger:Phys. Rev. B,22, 2099 (1980);Phys. Rev. Lett.,42, 1698 (1979).

    Article  ADS  Google Scholar 

  2. A. Andretta, G. Zanarini andK. Pendergast: inDynamical Processes in Condensed Matter, edited byM. W. Evans (J. Wiley & Sons, New York, N. Y., 1985), and references therein.

    Google Scholar 

  3. M. Takayama, Y. R. Lin-Liu andK. Maki:Phys. Rev. B,21, 2388 (1980).

    Article  ADS  Google Scholar 

  4. M. J. Rice:Phys. Lett. A,71, 152 (1979).

    Article  ADS  Google Scholar 

  5. R. E. Peierls:Quantum Theory of Solids (Clarendon Press, London, 1955), p. 108.

    MATH  Google Scholar 

  6. H. Köppel, W. Domcke andL. S. Cederbaum:Adv. Chem. Phys.,57, 59 (1984).

    Article  Google Scholar 

  7. F. Fischer, H. Körppel andL. S. Cederbaum: to be published.

  8. I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series, and Products (Academic Press, New York, N. Y., 1980), p. 905.

    MATH  Google Scholar 

  9. N. Tinkham:Introduction to Superconductivity (McGraw-Hill Inc., New York, N. Y., 1975), p. 34.

    Google Scholar 

  10. W. Siebert:Angew. Chem.,97, 924 (1985);Int. Ed. Engl.,24, 943 (1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fischer, F., Köppel, H. & Cederbaum, L.S. Influence of internal degrees of freedom on the structure of one-dimensional systems. Il Nuovo Cimento D 9, 571–579 (1987). https://doi.org/10.1007/BF02667950

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02667950

PACS. 71.30+h.

Navigation