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Complex-Temperature Partition Function Zeros of the Potts Model on the Honeycomb and Kagomé Lattices

Heiko Feldmann·Robert Shrock·Shan-Ho Tsai
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Abstract

We calculate complex-temperature (CT) zeros of the partition function for the $q$-state Potts model on the honeycomb and kagomé lattices for several values of $q$. These give information on the CT phase diagrams. A comparison of results obtained for different boundary conditions and a discussion of some CT singularities are given. Among other results, our findings show that the Potts antiferromagnet with $q=4$ and $q=5$ on the kagomé lattice has no phase transition at either finite or zero temperature.

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Heiko Feldmann, Robert Shrock, Shan-Ho Tsai. 1997-11-06. Complex-Temperature Partition Function Zeros of the Potts Model on the Honeycomb and Kagomé Lattices. https://doi.org/10.1103/physreve.57.1335

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