Complex-temperature phase diagrams for the q-state Potts model on self-dual families of graphs and the nature of the q-->infinity limit.
Exact calculations of the Potts model partition function Z(G,q,v) have been presented for arbitrary q and temperature-like variable v on self-dual strip graphs G of the square lattice with fixed width L(y) and arbitrarily great length Lx with two types of boundary conditions. Letting Lx-->infinity, the resultant free energy and complex-temperature phase diagram have been computed, including the locus B where the free energy is nonanalytic. Results are analyzed for widths L(y)=1,2,3. These results have been used to study the approach to the large-q limit of B.
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C. N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840, USA. shu-chiuan.chang@sunysb.edu
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