V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 L533 doi:10.1088/0305-4470/28/21/004
V Matveev and R Shrock
Show affiliationsWe 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.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.10.Hk Classical spin models
75.30.Cr Saturation moments and magnetic susceptibilities
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82B30 Statistical thermodynamics (See also 80-XX)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 21 (7 November 1995)
V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 L533
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