Skip to main content
SpringerLink
Log in

Summation of closed self-avoiding diagrams on the honeycomb lattice

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

The generating function for calculating closed self-avoiding diagrams on the honeycomb lattice is constructed and its thermodynamic limit found. The presence of a phase transition in the system is noted, and the critical value of the interaction constant is found. The calculations are made by means of integration with respect to anticommuting variables.

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. B. Duplantier,J. Stat. Phys.,54, 581 (1989).

    Google Scholar 

  2. B. Duplantier,Phys. Rev. Lett.,57, 941 (1986).

    Google Scholar 

  3. H. Saluer,J. Phys. A,19, L807 (1986).

    Google Scholar 

  4. B. Duplantier and David Francois,J. Statist.,51, 327 (1988).

    Google Scholar 

  5. B. Duplantier, in:Univers. Condens. Matter. Proc. Workshop. Les Houches Berlin (1988), p. 191.

  6. Kumar Sanjay and Singh Yashwant,J. Phys. A,23, 5115 (1990).

    Google Scholar 

  7. F. A. Berezin,Mat. Sb.,85, 49 (1971).

    Google Scholar 

  8. V. A. Klimenko,Izv. Vyssh. Uchebn. Zaved. Matematika,12, 35 (1990).

    Google Scholar 

  9. K. Y. Lin, S. K. Ma, C. H. Kao, and S. H. Chin,J. Phys. A,20, 1981 (1987).

    Google Scholar 

  10. A. J. Guttmann and I. G. Enting,J. Phys. A,21, L467 (1988).

    Google Scholar 

  11. K. J. Lin and S. J. Chang,J. Phys. A,21, 2635 (1988).

    Google Scholar 

  12. F. A. Berezin,Introduction to Algebra and Analysis with Anticommuting Variables [in Russian], Moscow State University, Moscow (1983).

    Google Scholar 

Download references

Authors
  1. V. A. Klimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Urals Polytechnic Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 140–145, January, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klimenko, V.A. Summation of closed self-avoiding diagrams on the honeycomb lattice. Theor Math Phys 94, 100–103 (1993). https://doi.org/10.1007/BF01016999

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016999

Keywords

Search

Navigation