Complex-temperature partition function zeros of the Potts model on the honeycomb and kagome lattices

We calculate complex-temperature (CT) zeros of the partition function for the q-state Potts model on the honeycomb and kagomi 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 kagome lattice has no phase transition at either finite or zero temperature. [S1063-651X(98)06902-5].