Soluble kagome Ising model in a magnetic field

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 8 figures, references added

Scientific paper

10.1103/PhysRevE.71.046120

An Ising model on the kagome lattice with super-exchange interactions is solved exactly under the presence of a nonzero external magnetic field. The model generalizes the super-exchange model introduced by Fisher in 1960 and is analyzed in light of a free-fermion model. We deduce the critical condition and present detailed analyses of its thermodynamic and magnetic properties. The system is found to exhibit a second-order transition with logarithmic singularities at criticality.

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