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 GΛ is a section of a lattice Λ with coordination number kΛ 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 xΛ = v/q 2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Condensed Matter Physics