Skip to main content
Log in

A coupled-mode theory of heisenberg paramagnets

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The inadequacy of the standard coupled-mode theory of one dimensional paramagnets is resolved by renormalisation of the exchange coupling and time scale, in such a way that the refined theory is consistent with some static spin cumulants. With the proposed refinements the coupled-mode theory gives the exact spin dynamics in the limit of vanishing temperatures. For low temperatures the theory is studied numerically to achieve comparisons with computer simulation data that vindicate the renormalisation scheme.

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.

Similar content being viewed by others

References

  1. Kawasaki, K.: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. 5 A. New York: Academic Press 1976

    Google Scholar 

  2. Kawasaki, K., Gunton, J.D.: Progress in liquid physics. Croxton, C.A. (ed.): Chichester: John Wiley 1978

    Google Scholar 

  3. Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 1 (1977)

    Google Scholar 

  4. Hubbard, J.: J. Appl. Phys.42, 1390 (1971)

    Google Scholar 

  5. Hubbard, J.: J. Phys. C4, 53 (1971)

    Google Scholar 

  6. Mook, H.A.: Phys. Rev. Lett.46, 508 (1981)

    Google Scholar 

  7. Takahashi, M.: J. Phys. Soc. Jpn.52, 3592 (1983)

    Google Scholar 

  8. McLean, F.B., Blume, M.: Phys. Rev. B7, 1149 (1973)

    Google Scholar 

  9. Martin, P.C., Siggia, E.D., Rose, H.A.: Phys. Rev. A8, 423 (1973)

    Google Scholar 

  10. Deker, U., Haake, F.: Phys. Rev. A12, 1629 (1975)

    Google Scholar 

  11. Reiter, G., Sjölander, A.: J. Phys. C13, 3027 (1980)

    Google Scholar 

  12. Lovesey, S.W.: Condensed matter physics: dynamic correlations. 2nd Edn. Palo Alto: Benjamin/Cummings 1986

    Google Scholar 

  13. Loveluck, J.M., Windsor, C.G.: J. Phys. C11, 2999 (1978)

    Google Scholar 

  14. Lovesey, S.W.: Physics in one dimension. Solid-State Sciences Vol. 23. Berlin Heidelberg, New York: Springer-Verlag (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lovesey, S.W., Megann, A. A coupled-mode theory of heisenberg paramagnets. Z. Physik B - Condensed Matter 63, 437–445 (1986). https://doi.org/10.1007/BF01726191

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01726191

Keywords

Navigation