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Zeros of the partition function for higher-spin 2D Ising models

  • Stony Brook University

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24 Scopus citations

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 an insight into complex-temperature phase diagrams of these models in the thermodynamic limit. Support is adduced for a conjecture that all divergences of the magnetization occur at endpoints of arcs of zeros protruding into the FM phase. We conjecture that there are 4(s2)-2 such arcs for s>or=1, where (x) denotes the integral part of x.

Original languageEnglish
Article number004
Pages (from-to)L533-L539
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number21
DOIs
StatePublished - 1995

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