Skip to main content
SpringerLink
Log in

Transfer matrix analysis of the two-dimensional ANNNI model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The two-dimensional axial next-nearest neighbour Ising (ANNNI) model is studied for the first time by a transfer matrix method for semi-infinite strips (N×∞;N≦13). One obtains the thermodynamic properties and, more important, the correlation functions, which display directly the various magnetic structures. In one part of the phase diagram where a disorder line is believed to follow closely the ferromagnetic transition line the critical exponents appear to deviate from the expected ones. ForN≧13 a variational procedure is proposed.

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. Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980)

    Google Scholar 

  2. Selke, W.: Z. Phys. B—Condensed Matter43, 335 (1981)

    Google Scholar 

  3. Barber, M.N., Duxbury, P.M.: J. Phys. A.15, 915 (1982);15, 3219 (1982)

    Google Scholar 

  4. Villain, J., Bak, P.: J. Phys. (Paris)42, 657 (1981)

    Google Scholar 

  5. Schultz, T.D., Mattis, D.C., Lieb, F.H.: Rev. Mod. Phys.36, 856 (1964)

    Google Scholar 

  6. For a detailed exposition see: Barber, M.N.: In: Phase transitions and critical phenomena. Domb, C., Lebowitz, J.L. (eds.), Vol. 8.New York: Academic Press 1983

    Google Scholar 

  7. Onsager, L.: Phys. Rev.65, 177 (1944)

    Google Scholar 

  8. Camp, W.J., Fisher, M.E.: Phys.Rev. B6, 946 (1972)

    Google Scholar 

  9. Igloi, F., Solyom, J.: J. Phys. C16, 2833 (1983)

    Google Scholar 

  10. Hamer, C.J.: J. Phys. A16, 3085 (1981)

    Google Scholar 

  11. Hamer, C.J.: J. Phys. A.14, 2009 (1981)

    Google Scholar 

  12. Broeck, J. Vanden, Schwartz, L.W.: SIAM J. Math. Anal.10, 658 (1979)

    Google Scholar 

  13. Kroemer, J., Pesch, W.: J. Phys. A.15, L25 (1982)

    Google Scholar 

  14. Hamer, C.J.: J. Phys. A15, L675 (1982)

    Google Scholar 

  15. Peschel, I., Emery, V.J.: Z. Phys. B—Condensed Matter43, 241 (1981)

    Google Scholar 

  16. Barber, M.N., Selke, W.: J. Phys. A15, L617 (1982)

    Google Scholar 

  17. See e.g. Stiefel, E., Fässler, A.: Gruppentheoretische Methoden und ihre Anwendungen. Stuttgart: B.G. Teubner 1979

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physikalisches Institut der Universität Bayreuth, Universitätsstrasse 30, D-8580, Bayreuth, Germany

    W. Pesch & J. Kroemer

Authors
  1. W. Pesch
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Kroemer
    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

Pesch, W., Kroemer, J. Transfer matrix analysis of the two-dimensional ANNNI model. Z. Physik B - Condensed Matter 59, 317–323 (1985). https://doi.org/10.1007/BF01307437

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01307437

Keywords

Search

Navigation