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A general view on the critical behavior in the effective field theory approximation of the Ising model with arbitrary coordination number

Author

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  • Jurčišinová, E.
  • Jurčišin, M.

Abstract

A general polynomial equation is derived for the determination of the critical temperatures of the Ising model on lattices with arbitrary values of the coordination number in the framework of the single-site cluster effective field theory approximation. This equation is used for the investigation of the properties of the critical temperature of the model as the function of the coordination number. It is shown that the value of the critical temperature of the model can be approximated with very high precision by the simple function z−1 already for relatively small values of z. In addition, it is also shown that the critical temperatures only for the two smallest values of the coordination number (z=3 and 4) can be found in the closed analytic form.

Suggested Citation

  • Jurčišinová, E. & Jurčišin, M., 2019. "A general view on the critical behavior in the effective field theory approximation of the Ising model with arbitrary coordination number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1399-1404.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1399-1404
    DOI: 10.1016/j.physa.2019.04.117
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