Abstract
The phase diagram and the critical indices are investigated for the symmetric 16-vertex model on the square lattice by combining a variational series expansion and the coherent anomaly method. The nonuniversal critical exponents smoothly interpolate between two exactly solvable cases, namely the Baxter eight-vertex model and the Ising model.
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References
R. B. Griffiths,Phys. Rev. Lett. 24:1479 (1970).
R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
L. P. Kadanoff,Phys. Rev. Lett. 39:903 (1977).
A. B. Zisook,J. Phys. A: Math. Gen. 13:2451 (1980).
M. N. Barber,J. Phys. A: Math. Gen. 12:679 (1979).
K. H. Swendsen and S. Krinsky,Phys. Rev. Lett. 43:6979 (1979).
K. Binder and D. P. Landau,Phys. Rev. B 21:1941 (1980).
J. Oitmaa,J. Phys. A: Math. Gen. 14:1159 (1981).
D. P. Landau and K. Binder,Phys. Rev. B 31:5946 (1985).
K. Tanaka, T. Horiguchi, and T. Morita,Phys. Lett. A 165:266 (1992).
M. Suzuki,J. Phys. Soc. Jpn. 55:4205 (1986).
M. Suzuki,Prog. Theor. Phys. 51:1992 (1974).
X. N. Wu and F. Y. Wu,J. Phys. A: Math. Gen. 22:L55 (1989).
L. Šamaj and M. Kolesík,Mod. Phys. Lett. B 5:1075 (1991).
F. J. Wegner,Physica 68:570 (1973).
A. Gaaff and J. Hijmans,Physica A 80:149 (1975).
M. Kolesík and L. Šamaj,J. Phys. I (Paris)3:93 (1993).
M. E. Fisher and M. N. Barber,Phys. Rev. Lett. 28:1516 (1972).
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Kolesík, M., Šamaj, L. Series expansion and CAM study of the nonuniversal behavior of the symmetric 16-vertex model. J Stat Phys 72, 1203–1226 (1993). https://doi.org/10.1007/BF01048186
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DOI: https://doi.org/10.1007/BF01048186