Some Critical Properties of the Eight-Vertex Model

Dec 1, 1971
4 pages
Published in:
  • Phys.Rev.B 4 (1971) 3989-3993

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Abstract: (APS)
The eight-vertex model solved by Baxter is shown to be equivalent to two Ising models with nearest-neighbor coupling interacting with one another via a four-spin coupling term. The critical properties of the model in the weak-coupling limit are in agreement with the scaling hypothesis. In this limit where α→0, the critical indices obey γγ0=ββ0=νν0=1−12α, δδ0=ηη0=1, with the subscripts zero denoting the index values for the ordinary two-dimensional Ising model.