Abstract
We study the anisotropic square lattice Ising antiferromagnet in terms of three parameters: an external magnetic field B, an effective temperature γ and an anisotropy parameterK. The model, i.e., partition function and free energy, is solved exactly in the anisotropic limit,K→0, for arbitrary temperature and field by using the transfer matrix method. We also calculate the first corrections beyond this limit. The limit is non trivial and the phase transition is completely preserved. It is of the expected Ising type. The transition temperatureλ c (B, K) is determined exactly for bothK→0 andK→∞ and the results are used to check the validity of a recently conjectured formula by Muller-Hartmann and the author.
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