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Exact solution of a triangular ising model in a nonzero magnetic field

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Abstract

A closed-form expression is obtained for the free energy per site of the Ising model on the triangular lattice in a nonzero magnetic field and with two- and three-site interactions. The solution is valid along a trajectory in the parameter space, and is derived using a method of exact decimation. A criterion determining the validity of the decimation method is also established.

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Wu, F.Y. Exact solution of a triangular ising model in a nonzero magnetic field. J Stat Phys 40, 613–620 (1985). https://doi.org/10.1007/BF01009892

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  • DOI: https://doi.org/10.1007/BF01009892

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