Abstract
We demonstrate that the (Union-Jack lattice) Ising model maps onto an isotropic free-fermion eight vertex model. Using this result we show the claim of Lin and Lee, that the spontaneous magnetization given by Vaks, Larkin and Ovchinnikov is in error, to be incorrect. By the use of correlation identities for the checkerboard Ising model, we derive the mean spontaneous magnetization on the Union-Jack lattice, which agrees with low-temperature series expansion.
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