Combined analysis of ferromagnetic materials using the Heisenberg Green functions and Ising EFT methods

Elie A. Moujaes, A. Khater, M. Abou Ghantous

Research output: Contribution to journalArticle

4 Citations (Scopus)


Ferromagnetic phase diagrams were, for a long time, unsuccessfully determined theoretically, despite the important Callen's 1963 [21] theoretical model. A great variety of experimental data for the magnetization over the entire range of temperature defining the ordered phase compared well with an empirical formula recently determined by Kuz'min (2005) [22]. Nonetheless, the Ising effective field theory (EFT), which can be of enormous support to both methods, was never given attention. The present work intends to show how the Ising EFT technique, when combined with the Green functions in Callen's work, is able to reconcile theoretical work with experimental data. The ratio <sup>kTc</sup>/JZS(S+1) plays an important role in finding values for the exchange parameter J, whose first-principles calculation, often depending on the package used, is not properly done. J can be determined for a variety of ferromagnetic materials represented by general spin systems S with a number of nearest neighbours Z and critical temperature T<inf>c</inf>, even for models including a percolative feature, characteristic of diluted interactive systems. We demonstrate that EFT is capable of estimating a value of J, which can substitute the use of more complex theoretical models or the performance of ab initio/DFT calculations.

Original languageEnglish
Pages (from-to)49-59
Number of pages11
JournalJournal of Magnetism and Magnetic Materials
Publication statusPublished - 1 Oct 2015
Externally publishedYes



  • Callen's method
  • Ferromagnetism
  • Ising EFT
  • Kuz'min empirical approach
  • Normalized critical temperature ratio
  • Percolation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

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