Magnetic nanoparticle systems: an Ising model approximation

Abstract A simple theory, using the differential operator technique with the approximated Van der Waerden identity, has been developed to investigate magnetic nanoparticle-based systems. The calculations were performed for a two-dimensional Ising model on a hexagonal lattice consisting of metallic nanoclusters. The nanoparticles are assumed to interact via a superferromagnetic exchange coupling. The nanocluster magnetic moment is represented by an effective spin which simulates thermal fluctuations. We found that the superferromagnetic order temperature increases with the nanocluster size.