Abstract
We present some symmetry and factorization relations satisfied by the corner transfer matrices (CTMs) of the chiral Potts model. We show how the single-spin expectation values can be expressed in terms of the CTMs, and in terms of the related boost operator. Low-temperature calculations lead naturally to the variables that uniformize the Boltzmann weights of the model.
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R. J. Baxter, J. H. H. Perk, and H. Au-Yang,Phys. Lett. A 128:138 (1988).
H. Au-Yang and J. H. H. Perk,Proceedings of the Taniguchi Symposium, Vol. 19 (Kinokumiya/Academic, 1989).
R. J. Baxter,Ann. Phys. (N. Y.) 70:193 (1972).
R. J. Baxter, Hyperelliptic function parametrization for the chiral Potts model, inProceedings of the International Congress of Mathematicians 1990 (Mathematical Society of Japan/Springer-Verlag).
R. J. Baxter,Phys. Lett. 133A:185 (1988).
R. J. Baxter, V. V. Bazhanov, and J. H. H. Perk,Int. J. Mod. Phys. B 4:803 (1990).
R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).
G. Albertini, B. M. McCoy, J. H. H. Perk, and S. Tang,Nucl. Phys. B 314:741 (1989).
R. J. Baxter,J. Stat. Phys. 52:639 (1988).
R. J. Baxter,Phil. Trans. R. Soc. Lond. 289:315 (1978).
H. B. Thacker,Physica 18D:348 (1986).
S. Howes, L. P. Kadanoff, and M. den Nijs,Nucl. Phys. B 215[FS7]:169 (1983).
M. Henkel and J. Lacki,Phys. Lett. A 139:105 (1989).
I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series and Products (Academic, New York, 1965).
L. Onsager,Nuovo Cimento (Suppl.) 6:261 (1949).
C. N. Yang,Phys. Rev. 85:808 (1952).
S. Kowalevski,Acta Math. 12:177 (1989).
E. Date, M. Jimbo, T. Miwa, and M. Okado,Proc. Symp. Pure Math. 49:295 (1989).
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Baxter, R.J. Corner transfer matrices of the chiral Potts model. J Stat Phys 63, 433–453 (1991). https://doi.org/10.1007/BF01029194
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DOI: https://doi.org/10.1007/BF01029194