Abstract
The Yang-Lee zeros of the three-component ferromagnetic Potts model in one dimension in the complex plane of an applied field are determined. The phase diagram consists of a triple point where three phases coexist. Emerging from the triple point are three lines on which two phases coexist and which terminate at critical points (Yang-Lee edge singularity). The zeros do not all lie on the imaginary axis but along the three two-phase lines. The model can be generalized to give rise to a tricritical point which is a new type of Yang-Lee edge singularity. Gibbs phase rule is generalized to apply to coexisting phases in the complex plane.
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Supported in part by the National Science Foundation under Grant No. DMR-81-06151.
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Mittag, L., Stephen, M.J. Yang-Lee zeros of the Potts model. J Stat Phys 35, 303–320 (1984). https://doi.org/10.1007/BF01014386
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DOI: https://doi.org/10.1007/BF01014386