ZEROS OF THE TRIANGULAR POTTS-MODEL PARTITION-FUNCTION - A CONJECTURED DISTRIBUTION

We consider the q-state Potts model on the triangular lattice with two - and three-site interactions in alternate triangular faces, and deter mine zeroes of the partition function numerically in the case of pure three-site interactions. On the basis of a rigorous reciprocal symmetr y and results on the zeroes for finite lattices, we conjecture that ze roes of the partition function of the triangular Potts model with pure three-site interactions in alternate triangular faces lie on a circle and a segment of the negative real axis. It is shown that the conject ure holds for q = 2, and that it reproduces the known critical point f or general q, including the q = 1 site percolation.