title: General theory of lee-yang zeros in models with first-order phase transitions
abstract: 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.
authors.affiliation: Microsoft Research, One Microsoft Way, Redmond, Washington 98052, USA.
authors.initials: M
authors.lastname: Biskup
authors.initials: C
authors.lastname: Borgs
authors.initials: JT
authors.lastname: Chayes
authors.initials: LJ
authors.lastname: Kleinwaks
authors.initials: R
authors.lastname: Kotecky