Evidence of Superspin-Glass Behavior in Zn0.5Ni0.5Fe2O4 Nanoparticles

We have used dc-magnetization and ac-susceptibility to investigate the superspin dynamics in 9 nm average size Zn0.5Ni0.5Fe2O4 magnetic particles at temperatures ( T ) between 3 and 300 K. Dc-magnetization M versus T data collected in a H = 50 Oe magnetic field using a field-cooled–zero-field-cooled protocol indicate that the onset of irreversibility occurs in the vicinity of 190 K. This is confirmed by M versus H | T hysteresis loops, as well as by frequency- and temperature-resolved ac-susceptibility data. We demonstrate that this magnetic event is not due to the blocking of individual superspins, but can be unequivocally ascribed to their collective freezing in a spin-glass-like fashion. Indeed, the relative variation (per frequency decade) of the in-phase susceptibility peak temperature is ~0.032, critical dynamics analysis of this peak shift yields an exponent z ν = 10.0 and a zero-field freezing temperature T g = 190 K, and, in a magnetic field, T g( H ) is excellently described by the de Almeida–Thouless line δ T g = 1 − T g( H )/ T g ∝ H 2/3. In addition, out-of-phase susceptibility versus temperature datasets collected at different frequencies collapse on a universal dynamic scaling curve. Finally, memory imprinting during a stop-and-wait magnetization protocol confirms the collective freezing nature of the state below 190 K.