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

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

1997-11-06

arxiv.org/abs/cond-mat/9711058v1

Phys. Rev. E57, 1335 (1998)

Physics

Condensed Matter

Statistical Mechanics

28 pages, Revtex, 18 encapsulated postscript figures, Phys. Rev. E, in press

Scientific paper

10.1103/PhysRevE.57.1335

We calculate complex-temperature (CT) zeros of the partition function for the $q$-state Potts model on the honeycomb and kagom\'e 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 kagom\'e lattice has no phase transition at either finite or zero temperature.

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