Phys. Rev. Lett. 84, 4794–4797 (2000)General Theory of Lee-Yang Zeros in Models with First-Order Phase TransitionsReceived 1 February 2000; published in the issue dated 22 May 2000 We present a general, rigorous theory of Lee-Yang zeros for models with first-order phase transitions that admit convergent contour expansions. We derive formulas for the positions and the density of the zeros. In particular, we show that, for models without symmetry, the curves on which the zeros lie are generically not circles, and can have topologically nontrivial features, such as bifurcation. Our results are illustrated in three models in a complex field: the low-temperature Ising and Blume-Capel models, and the q-state Potts model for large q. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4794
DOI:
10.1103/PhysRevLett.84.4794
PACS:
05.50.+q, 05.70.Fh, 64.60.Cn, 75.10.Hk
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