Partition function of the Eight-Vertex lattice model

The partition function of the zero-field “Eight-Vertex” model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zero-field Ising, F and KDP models as special cases. In general the free energy has a branch point singularity at a phase...

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Bibliographic Details
Published in:Annals of physics 1972-03, Vol.70 (1), p.193-228
Main Author: Baxter, Rodney J
Format: Article
Language:English
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Summary:The partition function of the zero-field “Eight-Vertex” model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zero-field Ising, F and KDP models as special cases. In general the free energy has a branch point singularity at a phase transition, with an irrational exponent.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(72)90335-1