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Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models
Zvonko Glumac1, Katarina Uzelac
1Department of Physics, Josip Juraj Strossmayer University of Osijek, P.O. Box 125, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia. zglumac@fizika.unios.hr
Abstract:
The phase diagram of the two- and three-state Potts model with infinite-range interactions in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state model is observed as the approach of the zeros to the real axis at the nonzero field value. Different regimes, involving several first- and second-order transitions of the complicated phase diagram of the three-state model, are identified from the scaling properties of the zeros closest to the real axis. The critical exponents related to the tricritical point and the Yang-Lee edge singularity are well reproduced. Calculations are extended to the negative fields, where the exact implicit expression for the transition line is derived.
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