Abstract
We obtain the transfer matrix functional relations for the chiral Potts model with skewed boundary conditions and find that they are the same as for periodic boundary conditions, but with modified selection rules. As a start toward calculating the interfacial tension in general, we here evaluate it in a low-temperature limit, performing a Bethe-ansatz-type calculation. Finally, we specialize the relations to the superintegrable case, verifying the ansatz proposed by Albertiniet al.
Similar content being viewed by others
References
R. J. Baxter, J. H. H. Perk, and H. Au-Yang,Phys. Lett. A 128:138–142 (1988).
G. Albertini, B. M. McCoy, J. H. H. Perk, and S. Tang,Nucl. Phys. B 314:741–763 (1989).
R. J. Baxter,Phys. Lett. A 133:185–189 (1988).
G. Albertini, B. M. McCoy, and J. H. H. Perk,Phys. Lett. A 135:159–166 (1989).
G. Albertini, B. M. McCoy, and J. H. H. Perk,Adv. Stud. Pure Math. 19:1–55 (1989).
R. J. Baxter,J. Stat. Phys. 57:1–39 (1989).
V. O. Tarasov,Phys. Lett. A 147:487–490 (1990).
B. M. McCoy and S. Roan,Phys. Lett. A 150:347–354 (1990).
G. Albertini and B. M. McCoy,Nucl. Phys. B 350:745–788 (1991).
B. M. McCoy, inICM-90 Satellite Conference Proceedings Special Functions, M. Kashiwara and T. Miwa, eds. (Springer-Verlag, 1991), pp. 245–259.
R. J. Baxter,Physica A 177:101–108 (1991).
V. O. Tarasov,Int. J. Mod. Phys. A 7(Suppl. 1B):963–975 (1992).
G. Albertini,J. Phys. A 25:1799–1813 (1992).
S. Dasmahapatra, R. Kedem, and B. M. McCoy, Spectrum and completeness of the 3 state superintegrable chiral Potts model, preprint ITP-SB 92-11 (1992).
V. V. Bazhanov and Yu. G. Stroganov,J. Stat. Phys. 59:799–817 (1990).
R. J. Baxter, V. V. Bazhanov, and J. H. H. Perk,Int. J. Mod. Phys. B 4:803–870 (1990).
R. J. Baxter,Phys. Lett. A 146:110–114 (1990).
R. J. Baxter, inProceedings Fourth Asia-Pacific Physics Conference, S. H. Ahn, I1-T. Cheon, S. H. Choh, and C. Lee, eds. (World Scientific, Singapore, 1991), Vol. 1, pp. 42–57.
G. Albertini, S. Dasmahapatra, and B. M. McCoy,J. Mod. Phys. A 7(Suppl. 1A):1–54 (1992).
H. Au-Yang and J. H. H. Perk, inAdvanced Studies in Pure Mathematics, Vol. 19, K. Aomoto and T. Oda, eds. (Academic/Kinokumiya, 1989), pp. 57–94.
H. Au-Yang and J. H. H. Perk,Int. J. Mod. Phys. A 7(Suppl. 1B):1007–1024 (1992).
V. B. Matveev and A. O. Smirnov,Lett. Math. Phys. 19:179–185 (1990).
L. Onsager,Phys. Rev. 65:117–149 (1944).
R. J. Baxter and P. A. Pearce,J. Phys. A 15:897–910 (1982).
R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
R. J. Baxter,Phys. Lett. A 140:155–157 (1989).
V. O. Tarasov,Int. J. Mod. Phys. A 7(Suppl. 1B):963–975 (1992).
T. D. Schultz, D. C. Mattis, and E. H. Lieb,Rev. Mod. Phys. 36:856–871 (1964).
R. J. Baxter,J. Stat. Phys. 52:639–667 (1988).
C. N. Yang and C. P. Yang,Phys. Rev. 150:321–327 (1966).
E. H. Lieb,Phys. Rev. 162:162–172 (1967);Phys. Rev. Lett. 18:692–694, 1046–1048;19:108–110 (1967).
B. Sutherland,Phys. Rev. Lett. 19:103–104 (1967).
R. J. Baxter,Ann. Phys. (N.Y.)70:193–228 (1972).
E. H. Lieb and F. Y. Wu, inPhase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, New York), pp. 321–490.
M. Gaudin,La Fonction d'Onde de Bethe (Masson, Paris, 1983).
L. R. Walker,Phys. Rev. 116:1089–1090 (1959).
J. D. Johnson, S. Krinsky, and B. M. McCoy,Phys. Rev. Lett. 29:492–494 (1972);Phys. Rev. A 8:2526–2547 (1973).
R. J. Baxter,Phil. Trans. R. Soc. Lond. 289:315–346 (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Baxter, R.J. Chiral Potts model with skewed boundary conditions. J Stat Phys 73, 461–495 (1993). https://doi.org/10.1007/BF01054336
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01054336