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Zeros of the Partition Function for Higher--Spin 2D Ising Models | | Victor Matveev
; Robert Shrock
; | | Date: |
9 May 1995 | | Journal: | J.Phys. A28 (1995) L533-L539 | | Subject: | hep-lat cond-mat | | 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 $x$. | | Source: | arXiv, hep-lat/9505005 | | Services: | Forum | Review | PDF | Favorites | |
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