We calculate exactly the partition function Z(G, Q, v) of the Q-state Potts model with temperature-like Boltzmann variable v for strip graphs G of the square and triangular lattices of various widths Ly and arbitrarily great lengths Lx, with a variety of boundary conditions, and with Q and v restricted to satisfy conditions corresponding to the ferromagnetic phase transition on the associated two-dimensional lattices. From these calculations, in the limit Lx → ∞, we determine the continuous accumulation loci of the partition function zeros in the v and Q planes. Strips of the honeycomb lattice are also considered. We discuss some general features of these loci.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)