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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 2 figures, presented at 13th Czech and Slovak Conference on Magnetism (CSMAG'07), 9.-12. July 2007, Kosice, Slovakia,

Scientific paper

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.

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