The spin-1/2 Ising model on the bow-tie lattice as an exactly soluble free-fermion model

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The spin-1/2 Ising model on the bow-tie lattice is exactly solved by establishing a precise mapping relationship with its corresponding free-fermion eight-vertex model. Ground-state and finite-temperature phase diagrams are obtained for the anisotropic bow-tie lattice with three different exchange interactions along three different spatial directions.
4 pages, 2 figures, presented at 13th Czech and Slovak Conference on Magnetism (CSMAG'07), 9.-12. July 2007, Kosice, Slovakia, to be published in Acta Physica Polonica A

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