Abstract
We explicitly calculate the free energy Ψ of the general solvableN-state chiral Potts model in the scaling region, forT<T c . We do this from both of the two available results for the free energy, and verify that they are mutually consistent. Ift=T c −T, then we find that ψ-ψ c /t has a Taylor expansion in powers oft 2/N (together with higher-order non-scaling terms of ordert, ort logt).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. J. Baxter,J. Stat. Phys. 52:639–667 (1988).
R. J. Baxter, J. H. H. Perk, and H. Au Yang,Phys. Lett. A 128:138–142 (1988).
H. Au-Yang and J. H. H. Perk, Onsager's star-triangle equation: Master key to integrability, inAdvanced Studies in Pure Mathematics, Vol. 19, K. Aomoto and T. Oda, eds. (Academic/Kinokumiya, Tokyo, 1989), pp. 57–94.
R. J. Baxter,Phys. Lett. A 146:110–114 (1990).
R. J. Baxter, V. V. Bazhanov, and J. H. H. Perk,Int. J. Mod. Phys. B 4:803–870 (1990).
R. J. Baxter, Calculation of the eigenvalues of the transfer matrix of the chiral Potts model, inProceedings of the Fourth Asia-Pacific Physics Conference (Seoul, Korea, 1990) (World Scientific, Singapore, 1971), Vol. 1, pp. 42–58.
V. A. Fateev and A. B. Zamolodchikov,Phys. Lett. A 92:37–39 (1982).
R. J. Baxter,J. Stat. Phys. 28:1–41 (1982).
M. J. O'Rourke and R. J. Baxter, Interfacial tension of the chiral Potts model,J. Stat. Phys. 82:1–29 (1996).
I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series and Products (Academic Press, New York, 1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Baxter, R.J. Free energy of the chiral Potts model in the scaling region. J Stat Phys 82, 1219–1234 (1996). https://doi.org/10.1007/BF02183382
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02183382