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    $\begingroup$ If I remember correctly, the paper by Biskup et al, General Theory of Lee-Yang Zeros in Models with First-Order Phase Transitions, arXiv:math-ph/0004003, Phys. Rev. Lett. 84, 4794–4797 (2000), discusses, among others, the Blume-Capel model (which has a triple point). $\endgroup$ Commented Nov 8, 2013 at 6:40
  • $\begingroup$ Note also that if you have three phases, you should consider two external fields. $\endgroup$ Commented Nov 8, 2013 at 7:36