Abstract
We study the site-bond percolation problem for clusters of holes and particles with antiferromagnetic order by means of the Bethe cluster approximation. We find that the droplets (i.e.P B =1−e −|K|/2) diverge at the antiferromagnetic critical pointH=0,T=T c; however forH≠0 they diverge along a percolation line which is different from the Antiferromagnetic Phase Boundary except atT=0.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Coniglio, A., Stanley, H.E., Klein, W.: Phys. Rev. Lett.42, 518 (1979)
Coniglio, A., Stanley, H.E., Klein, W.: Phys. Rev. B (June 1982)
Fisher, M.E.: Physica3, 255–283 (1967)
Coniglio, A., Klein, W.: J. Phys. A: Math. Gen.13, 2775 (1980)
Coniglio, A., di Liberto, F., Monroy, G.: J. Phys. A: Math. Gen.14, 3017 (1981)
di Liberto, F., Monroy, G., Palmieri, C.: (to be published)
Stoll, E., Domb, J.: J. Phys. A: Math. Gen.12, 1843 (1979)
Murata, K.K.: J. Phys. A,12, 817 (1979)
Napiorkowski, M., Hemmer, P.C.: Phys. Lett.76A, 359 (1980)
Coniglio, A., di Liberto, F., Monroy, G., Peruggi, F.: Phys. Lett.87A, 189 (1982)
Barma, M., Halley, J.W., Stephen, M.J.: (Preprint 1981)
Katzura, S., Takizawa, M.: Prog. Theor. Phys.51, 82 (1974)
Peruggi, F., di Liberto, F., Monroy, G.: (to be published)
Kasteleyn, P.W., Fortuin, C.: H. Phys. Soc. Jpn. Suppl.26, 11 (1969)
Reynolds, P.J., Stanley, H.E., Klein, W.: J. Phys. A: Math. Gen.10 L. 203 (1977)
Author information
Authors and Affiliations
Additional information
Gruppo Nazionale di Structtura della Materia
Rights and permissions
About this article
Cite this article
Monroy, G., di Liberto, F. & Peruggi, F. A-B site-bond correlated percolation for antiferromagnetic Ising model: The Bethe cluster approximation. Z. Physik B - Condensed Matter 49, 239–244 (1982). https://doi.org/10.1007/BF01313032
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01313032