Abstract
The author obtains the exact finite lattice partition functions for a sequence of two-dimensional Zn symmetric spin models, interpolating between the two-phase ferromagnetic Potts model and the three-phase (n>4) vector model. The author presents these results through the distribution of zeros of the partition function in the complex coupling variable. The author finds that the phase structure for both two- and three-phase models is manifested in this presentation. In the Potts model case the zeros approaching the ferromagnetic phase transition point are restricted to a circular locus (although well away from the ferromagnetic region this restriction does not apply). As the interpolation proceeds the simple ferromagnetic locus is modified, revealing a three-phase structure.
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