Zeros of the Potts model partition function in the large-q limit

We calculate zeros of the q-state Potts model partition function Z(G _Λ, q; v) for large q, where v is the temperature variable and G_Λ is a section of a lattice Λ with coordination number k_Λ and various boundary conditions. Lattice types studied include square, triangular, honeycomb, and kagomé. We show that for large q these zeros take on approximately circular patterns in the complex x _Λ plane, where x_Λ = v/q ^2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.