Skip to main content
Log in

Two-dimensional Ising model with crossing and four-spin interactions and a magnetic fieldi(π/2)kT

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

Abstract

The Ising model on a checkerboard lattice with crossing and four-spin interactions is solved exactly when there is pure imaginary magnetic fieldH=i(π/2)kT. The model exhibits a critical point with continuously varying exponents.

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. T. D. Lee and C. N. Yang,Phys. Rev. 87:410 (1952).

    Google Scholar 

  2. B. M. McCoy and T. T. Wu,Phys. Rev. 155:438 (1967).

    Google Scholar 

  3. G. Baxter,J. Math. Phys. 6:1015 (1965);8:399 (1966).

    Google Scholar 

  4. T. W. Marshall,Mol. Phys. 21:847 (1971).

    Google Scholar 

  5. D. Merlini,Lett. Nuovo Cimento 9:100 (1974).

    Google Scholar 

  6. A. Gaaff,Phys. Lett. A 49:103 (1974).

    Google Scholar 

  7. H. Au-Yang and J. H. H. Perk,Phys. Lett. 104A:131 (1984).

    Google Scholar 

  8. F. Y. Wu, Report at the 52nd Statistical Mechanics Meeting,J. Stat. Phys. 40:801 (1985).

    Google Scholar 

  9. F. Y. Wu,Solid State Commun. 10:115 (1972).

    Google Scholar 

  10. T. W. Burkhardt,Phys. Rev. B 20:2905 (1979).

    Google Scholar 

  11. H. J. Giacomini,J. Phys. A 18:L1087 (1986).

    Google Scholar 

  12. G. Forgacs,Phys. Rev. B 22:4473 (1980).

    Google Scholar 

  13. F. Y. Wu,Phys. Rev. B 4:2312 (1971).

    Google Scholar 

  14. L. P. Kadanoff and F. J. Wegner,Phys. Rev. B 4:3989 (1971).

    Google Scholar 

  15. C. Fan and F. Y. Wu,Phys. Rev. 179:560 (1967).

    Google Scholar 

  16. R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academy Press, London 1982).

    Google Scholar 

  17. R. J. BaxterAnn. Phys. (N.Y.) 70:1 (1972).

    Google Scholar 

  18. M. W. Barber and R. J. Baxter,J. Phys. A: Math. Gen. 6:2913 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, F.Y. Two-dimensional Ising model with crossing and four-spin interactions and a magnetic fieldi(π/2)kT . J Stat Phys 44, 455–463 (1986). https://doi.org/10.1007/BF01011305

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01011305

Key words

Navigation