Star-triangle and star-star relations in statistical mechanics
- Australian National Univ., Canberra (Australia)
The homogeneous three-layer Zamolodchikov model is equivalent to a four-state model on the checkerboard lattice which closely resembles the four-state critical Potts model, but with some of its Boltzmann weights negated. Here the author shows that it satisfies a star-to-reverse-star (or simply star-star) relation, even though they know of no star-triangle relation for this model. For any nearest-neighbor checkerboard model, they show that this star-star relation is sufficient to ensure that the decimated model (where half the spins have been summed over) satisfies a twisted Yang-Baxter relation. This ensures that the transfer matrices of the original model commute in pairs, which is an adequate condition for solvability.
- OSTI ID:
- 462614
- Report Number(s):
- CONF-9603223-; ISSN 0217-9792; TRN: IM9719%%84
- Journal Information:
- International Journal of Modern Physics B, Vol. 11, Issue 1-2; Conference: Exactly soluble models in statistical mechanics: Current status and historical perspectives, Boston, MA (United States), Mar 1996; Other Information: PBD: 20 Jan 1997
- Country of Publication:
- United States
- Language:
- English
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