Exchange-driven Collective Behavior in a 3D Array of Nanoparticles

A Monte Carlo simulation is performed in a cubic lattice of interacting identical Stoner-Woldfarth nanoparticles. The model system is a randomly-anisotropic Heisenberg spin system with a small anisotropy-to-exchange ratio D/J = 3.5. The dc susceptibility, chi(dc)(T), shows a Curie-Weiss-like transition at a temperature T-C/J approximate to 1.5, followed by a low-temperature glassy behavior manifested by cusps in both the zero-field-cooled and the field-cooled curves. The ac susceptibility, chi(ac) (T, omega), at various frequencies, w, shows that with decreasing temperature, a non-Arrhenius dispersive peak occurs at T-b(omega), succeeded by another dispersionless peak at T-g/J approximate to 1.20 in the in-phase part, chi'(T, omega), of chi (T, omega) while the out-of-phase part, chi '' (T, omega), shows only one peak. A dynamic scaling analysis shows that the system exhibits a critical slowing-down at T-g with a quite small exponent zv approximate to 1.65. However, no universal collapse is seen for the fully-scaled data of chi '' (T, omega). These observed behaviors are interpreted under the droplet-like hypothesis that the formation and development of exchange-induced correlated clusters drive ensembles of nanoparticles undergoing a transition from a paramagnetic order to a short-range order (SRO) at T-C, followed by a transition at T-g to the magnetic state in which a magnetic glassy order and a magnetic quasi-long-range order (QLRO) coexist. In addition, our simulation shows that the onset of the latter transition, which is peculiarly manifested by the dispersionless peak, occurs only for those ensembles possessing the anisotropy strength in the region 1.0 <= D/J <= 5.0.....