Free-fermion, checkerboard andZ-invariant lattice models in statistical mechanics
- 8 March 1986
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 404 (1826) , 1-33
- https://doi.org/10.1098/rspa.1986.0016
Abstract
It is shown that the two-dimensional free fermion model is equivalent to a checkerboard Ising model, which is a special case of the general 'Z-invariant' Ising model. Expressions are given for the partition function and local correlations in terms of those of the regular square lattice Ising model. Corresponding results are given for the self-dual Potts model, and the application of the methods to the three-dimensional Zamolodchikov model is discussed. The paper ends with a discussion of the critical and disorder surfaces of the checkerboard Potts model.Keywords
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