Zeros of the Partition Function for Higher--Spin 2D Ising Models

Abstract

We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin $s=1$, 3/2, and 2. These give insight into complex-temperature phase diagrams of these models in the thermodynamic limit. Support is adduced for a conjecture that all divergences of the magnetisation occur at endpoints of arcs of zeros protruding into the FM phase. We conjecture that there are $4[s^2]-2$ such arcs for $s\ge 1$, where $[x]$ denotes the integral part of $x$.

8 pages, latex, 3 uuencoded figures

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• Complex-Temperature Properties of the 2D Ising Model for Nonzero Magnetic Field
• Exact Potts Model Partition Function on Strips of the Triangular Lattice
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• Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros
• Complex-Temperature Phase Diagrams for the q-State Potts Model on Self-Dual Families of Graphs and the Nature of the $q\to \infty$ Limit
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• The Yang Lee Edge Singularity on Feynman Diagrams
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