Ashkin–Teller model as a vertex problem
- 1 April 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (4) , 611-613
- https://doi.org/10.1063/1.523343
Abstract
It is shown that the Ashkin–Teller model on any planar lattice is equivalent to an eight‐vertex model on a related lattice. The exact equivalence is given for finite lattices with a boundary. We show, in particular, that the AT model on the triangular or honeycomb lattice is related to an eight‐vertex model on a Kagomé lattice. The occurrence of two phase transitions in the AT model in general is also discussed.Keywords
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