A solvable hierarchy of cyclic solid-on-solid lattice models
19884 pages
Published in:
- Phys.Rev.Lett. 60 (1988) 1347-1350
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Abstract: (APS)
A hierarchy of L-state cyclic solid-on-solid lattice models, related to the Andrews-Baxter-Forrester solid-on-solid models, is solved exactly. In addition to the usual anisotropy parameter (spectral parameter) u and the temperaturelike variable (elliptic nome) p, the exact solution admits a phase angle w0 that interpolates between heights. Results for the free energy and local height probabilities are obtained. The exact solution exhibits first-order coexistence manifolds which coalesce at the multicritical point (p=0). For L=3, our results extend Baxter’s results on the three colorings of the square lattice.References(13)
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