Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model

@article{Baxter1973EightvertexMI,
  title={Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model},
  author={Rodney J. Baxter},
  journal={Annals of Physics},
  year={1973},
  volume={76},
  pages={25-47}
}
  • R. Baxter
  • Published 1 March 1973
  • Physics
  • Annals of Physics
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References

SHOWING 1-6 OF 6 REFERENCES
Exact Solution of the F Model of An Antiferroelectric
The F model, which was originally proposed by Rys1 as an interesting statistical mechanics problem, has since2 become a meaningful model of hydrogen bonded ferroelectrics (e.g., NH4H2PO4), at least
Residual Entropy of Square Ice
At low temperatures, ice has a residual entropy, presumably caused by an indeterminacy in the positions of the hydrogen atoms. While the oxygen atoms are in a regular lattice, each O-H-O bond permits
Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric
The Slater KDP model is solved for all temperatures and with an electric field. Above Tc the specific heat behaves lik (T−T c )−1/2 and the polarizability like (T−T c )−1. There is first-order phase