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

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

1995-05-09

arxiv.org/abs/hep-lat/9505005v1

J.Phys. A28 (1995) L533-L539

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, latex, 3 uuencoded figures

Scientific paper

10.1088/0305-4470/28/21/004

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 $x$.

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