Spin-1 model of noninteracting nanoparticles

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Yalcin O., Erdem R., Oevuenc S.

ACTA PHYSICA POLONICA A, vol.114, no.4, pp.835-844, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 114 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.12693/aphyspola.114.835
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.835-844
  • Yozgat Bozok University Affiliated: Yes


In this work, we presented a spin-1 model to investigate the magnetic properties of noninteracting monodomain nanoparticles based oil the pair approximation. Nearest-neighbor pair interactions are incorporated between the Ising spins in three parts that are core, core-surface, and surface within the nanoparticle. Using the spin-1 Ising model of magnetization in the pair approximation, we calculated the free energy and minimized with respect to pair variables to obtain the field-cooled magnetization. Hysteresis loops of the system were plotted for various values of exchange coupling constants and axial anisotropy of strength which Couples, the Core, core-surface, and surface re-ions. The coercive field and its linear fit to the data were plotted as a function of radius of ferromagnetic nanoparticles.