Partition function zeros of the square lattice Potts model.

We have evaluated numerically the zeros of the partition function of the q-state Potts model on the square lattice with reduced interactions K . On the basis of our numerical results, we conjecture that, both for finite planar self-dual lattices and for lattices with free or periodic boundary conditions in the thermodynamic limit, the zeros in the Resxd . 0 region of the complex x ­ seK 2 1dypq plane are located on the unit circle jxj ­ 1.