Complete expressions of all even correlations for the triangular Ising model in a recent exact evaluation of P(h,T), the local magnetic field distribution, are obtained from the Pfaffian representation derived by Stephenson. The results for the ferromagnetic J<0 and antiferromagnetic J>0 cases contain a number of interesting features previously not pointed out in the Ising literature. As a bonus, some new inequalities relating odd and even correlations are also obtained.
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These results are reported in Ref. 1.
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Some of these, notably and can be obtained by the startriangular theorem,
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See Ref. 2.
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Results for the ferromagnetic triangular lattice are given in Ref. 2.
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H. J. Hilhorst (private communication).
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For a related study using renormalization group methods see
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