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A new effective field theory for the anisotropic Heisenberg ferromagnet

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  • Idogaki, Toshihiro
  • Uryû, Norikiyo

Abstract

A new type of effective field theory (NEFT) is developed for the quantum spin system with anisotropic exchange interaction. The calculation is based on a two-atom cluster approximation, and effects from the rest spins are treated by the operator expansion technique assuming Ising character for surrounding spins. The Curie temperature Tc and spontaneous magnetization m are calculated for all Ising-, Heisenberg- and XY-like spin systems, and discussed comparing with results by other traditional pair spin theories. It is practically confirmed that Tc of the NEFT correctly reflects details of the geomtry of the lattice more than coordination number, and that it gives no anti-Curie point even for the XY-like spin system.

Suggested Citation

  • Idogaki, Toshihiro & Uryû, Norikiyo, 1992. "A new effective field theory for the anisotropic Heisenberg ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 173-186.
    • Handle: RePEc:eee:phsmap:v:181:y:1992:i:1:p:173-186
    DOI: 10.1016/0378-4371(92)90201-Z
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    References listed on IDEAS

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    1. Siqueira, A.F. & Fittipaldi, I.P., 1986. "New effective-field theory for the Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 592-611.
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    Cited by:

    1. Santos-Filho, A. & Albuquerque, D.F. de & Santos-Filho, J.B. & Batista, T.S. Araujo, 2016. "Phase diagram of the classical Heisenberg model in a trimodal random field distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 133-139.

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