Partition Function Zeros at First-Order Phase Transitions: A General Analysis

@article{Biskup2004PartitionFZ,
  title={Partition Function Zeros at First-Order Phase Transitions: A General Analysis},
  author={M. Biskup and C. Borgs and J. Chayes and L. J. Kleinwaks and R. Koteck'y},
  journal={Communications in Mathematical Physics},
  year={2004},
  volume={251},
  pages={79-131}
}
We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which are verified for a large class of spin models in a companion paper [5]. Under these assumptions, we derive equations whose solutions give the location of the zeros of the partition function with periodic boundary conditions, up to an error which we prove is (generically) exponentially small in the linear size of the… Expand
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