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We study, by means of magnetic susceptibility and magnetic aging experiments,the nature of the glassy magnetic dynamics in arrays of Co nanoparticles,self-organized in N layers from N=1 (two-dimensional limit) up to N=20(three-dimensional limit). We find no qualitative differences between themagnetic responses measured in these two limits, in spite of the fact that nospin-glass phase is expected above T=0 in two dimensions. More specifically,all the phenomena (critical slowing down, flattening of the field-cooledmagnetization below the blocking temperature and the magnetic memory induced byaging) that are usually associated with this phase look qualitatively the samefor two-dimensional and three-dimensional arrays. The activated scaling lawthat is typical of systems undergoing a phase transition at zero temperatureaccounts well for the critical slowing down of the dc and ac susceptibilitiesof all samples. Our data show also that dynamical magnetic correlationsachieved by aging a nanoparticle array below its superparamagnetic blockingtemperature extend mainly to nearest neighbors. Our experiments suggest thatthe glassy magnetic dynamics of these nanoparticle arrays is associated with azero-temperature spin-glass transition.

Zero-temperature spin-glass freezing in self-organized arrays of Co nanoparticles