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

V. Matveev, R. Shrock

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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 (US)
Article number004
Pages (from-to)L533-L539
JournalJournal of Physics A: General Physics
Issue number21
StatePublished - 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Mathematical Physics


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