Skip to main content
SpringerLink
Log in

Susceptibility of the Kagomé lattice Ising model

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We explicitly calculate the zero-field magnetic susceptibility of the anisotropic Kagomé lattice Ising model on two different varieties of the parameter space. One of them is the limitH=0 of the solubility condition, obtained in a previous paper by Giacomini, for the model with magnetic field. The other one is the disorder variety of the model, for which a dimensional reduction occurs. These varieties do not contain any nontrivial critical behavior of the model. A functional relation is also established, which relates the zero-field susceptibility for ferromagnetic and competing interactions.

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. M. E. Fisher,Proc. R. Soc. A 254:66 (1960).

    Google Scholar 

  2. I. G. Enting,J. Phys. A 10:1023 (1977).

    Google Scholar 

  3. D. Dhar and J. M. Maillard,J. Phys. A 18:L383 (1985).

    Google Scholar 

  4. M. E. Fisher,Physica 25:521 (1959).

    Google Scholar 

  5. M. F. Sykes and M. E. Fisher,Physica 28:919 (1962).

    Google Scholar 

  6. M. F. Sykes, D. S. Gaunt, P. D. Roberts, and J. A. Wyles,J. Phys. A 5:624 (1972).

    Google Scholar 

  7. E. Barouch, B. M. McCoy, and T. T. Wu,Phys. Rev. Lett. 31:1409 (1973).

    Google Scholar 

  8. C. A. Tracy and B. M. McCoy,Phys. Rev. Lett. 31:1500 (1973).

    Google Scholar 

  9. A. J. Guttmann,J. Phys. A 8:1236 (1975).

    Google Scholar 

  10. T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch,Phys. Rev. B 13:316 (1976).

    Google Scholar 

  11. A. J. Guttmann,J. Phys. A 10:1911 (1977).

    Google Scholar 

  12. X. P. Kong, H. Au-Yang, and J. H. H. Perk,Phys. Lett. A 116:54 (1986).

    Google Scholar 

  13. X. P. Kong, H. Au-Yang, and J. H. H. Perk,Phys. Lett. A 118:336 (1986).

    Google Scholar 

  14. S. Gartenhaus and W. S. McCullough,Phys. Lett. A 127:315 (1988);Phys. Rev. Bl 38:11688 (1988).

    Google Scholar 

  15. H. J. Giacomini,J. Phys. A 21:L31 (1988).

    Google Scholar 

  16. M. J. Jaekel and J. M. Maillard,J. Phys. A 18:1229 (1985).

    Google Scholar 

  17. I. Syozi, inPhase Transitions and Critical Phenemena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972).

    Google Scholar 

  18. F. Y. Wu,J. Stat. Phys. 44:455 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Magnétisme des Surfaces, Université Paris 7, 75251, Paris Cédex 05, France

    M. Débauche & H. Giacomini

Authors
  1. M. Débauche
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Giacomini
    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

Débauche, M., Giacomini, H. Susceptibility of the Kagomé lattice Ising model. J Stat Phys 58, 1127–1135 (1990). https://doi.org/10.1007/BF01026567

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01026567

Key words

Search

Navigation