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Partition function zeros for the two-dimensional Ising model VI

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  • Stephenson, John

Abstract

Special features of the complex temperature zeros of the partition function of the two-dimensional Ising model on completely anisotropic triangular lattices with all “odd” interactions, such as one with interaction ratios 5:3:1, are investigated. A bifurcation of one of the boundary lines at the imaginary axis occurs. An analytical explanation of this bifurcation is provided, and the algebraic reduction of the bifurcation eliminant to a symmetrical form is reported. Also, the end-points of lines of pure imaginary zeros are related to the critical point and disorder point equations.

Suggested Citation

  • Stephenson, John, 1989. "Partition function zeros for the two-dimensional Ising model VI," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(2), pages 324-343.
    • Handle: RePEc:eee:phsmap:v:154:y:1989:i:2:p:324-343
    DOI: 10.1016/0378-4371(89)90016-2
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    References listed on IDEAS

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    1. Stephenson, John & Van Aalst, Jan, 1986. "Partition function zeros for the two-dimensional Ising model III," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 160-175.
    2. Stephenson, John & Couzens, Rodney, 1984. "Partition function zeros for the two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 201-210.
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