Exactly Solvable IRF Models. V. A Further New Hierarchy
1986 年 55 巻 8 号 p. 2605-2617
詳細
1986 年 55 巻 8 号 p. 2605-2617
It is shown that a k-state IRF model (σ=0, 1, …, k−1), with a condition k−2≤σi+σj≤k on adjacent spins σi and σj, is exactly solvable for all k(k≥3). This proves the existence of a new hierarchy of solvable IRF models. It is also shown that the k-state IRF model is equivalent to a 3k-state solid on solid (SOS) model. Considering all the known results, it is predicted that for an arbitrary set of integers L and f(L≥0, f≥1) there exists a solvable IRF model with the hard core condition L≤σi+σj≤L+f.
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