We calculate the partition function Z(G, Q, v) of the Q-state Potts model exactly for self-dual cyclic square-lattice strips of various widths L y and arbitrarily large lengths Lx, with Q and v restricted to satisfy the relation Q = v2. From these calculations, in the limit Lx → ∞, we determine the continuous accumulation locus Β of the partition function zeros in the v and Q planes. A number of interesting features of this locus are discussed and a conjecture is given for properties applicable to arbitrarily large width. Relations with the loci Β for general Q and v are analyzed.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Condensed Matter Physics