Abstract
A method is suggested for derivation of the Bethe ansatz equations for the six-vertex model on a square lattice rotated at an arbitrary angle with respect to the coordinate axes. The method is based on the random walk representation for configurations of the model. The equations for the ice model on the rotated lattice are derived and some numerical results are obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. H. Lieb,Phys. Rev. Lett. 18:692 (1967).
H. N. V. Temperley and E. H. Lieb,Proc. R. Soc. Lond. A 322:251 (1971).
E. H. Lieb and F. Y. Wu, InPhase Transitions and Critical Phenomena, Vol. 1, Domb and Green, eds. (Academic Press, New York, 1972).
N. E. Pegg,Ann. Isr. Phys. Soc. 27:637 (1974).
J. L. Cardy,Nucl. Phys. B 270:186 (1986).
H. J. de Vega and M. Karowski,Nucl. Phys. B 285:619 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Litvin, A.A., Priezzhev, V.B. The Bethe ansatz for the six-vertex model with rotated boundary conditions. J Stat Phys 60, 307–321 (1990). https://doi.org/10.1007/BF01314922
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01314922