Density of the Fisher zeroes for the Ising model

preprint2000arXivOpen access

Abstract

The density of the Fisher zeroes, or zeroes of the partition function in the complex temperature plane, is determined for the Ising model in zero field as well as in a pure imaginary field i Pi/2. Results are given for the simple-quartic, triangular, honeycomb, and the kagome lattices. It is found that the density diverges logarithmically at points along its loci.

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