Abstract
The two-and-three-dimensional Ashkin-Teller model is studied within two renormalization group treatments. The complete flow diagram is obtained for this two-parameter Hamiltonian and the results for the critical couplings and critical exponents are compared to the exact ones when avaible.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Ashkin and E. Teller,Phys. Rev. 64:178 (1943).
C. Fan,Phys. Lett. 39A:136 (1972).
C. Fan and F. Y. Wu,Phys. Rev. B2:723 (1970).
H. J. F. Knops,J. Phys. A 8:1508 (1975).
R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic Press, New York, 1982), Chapter 12.
F. Wegner,J. Phys. C 5:L131 (1972).
I. Enting,J. Phys. A 8:L35 (1975).
L. Kadanoff,Ann. Phys. (NY)120:39 (1979).
L. Kadanoff and A. Brown,Ann. Phys. (NY)121:318 (1979).
M. Kohmoto, M. den Nijs, and L. Kadanoff,Phys. Rev. B 24:5229 (1981).
F. C. Alcaraz and J. R. Drugowich de Felicio,J. Phys. A 17:L651 (1984).
R. V. Ditzian, R. J. Banavar, G. S. Grest, and L. Kacdanoff,Phys. Rev. B 22:2542 (1980).
P. L. Christiano and S. Goulart Rosa, Jr.,Phys. Lett. 110A:44 (1985).
J. A. Plascak and F. C. Sá Barreto,J. Phys. A 19:2195 (1986).
J. O. Indekeu, A. Maritan, and A. C. Stella,Phys. Rev. B 35:305 (1987).
J. O. Indekeu, A. Maritan, and A. C. Stella,J. Phys. A 15:L291 (1982).
B. P. Demidovich and I. A. Maron,Computational Mathematics (MIR, Moscow, 1978), Chapter 8.
F. Y. Wu,Rev. Mod. Phys. 54:235 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
de Oliveira, P.M.C., Sá Barreto, F.C. Renormalization group studies of the Ashkin-Teller model. J Stat Phys 57, 53–63 (1989). https://doi.org/10.1007/BF01023634
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01023634