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Spontaneous magnetization in presence of nanoscale inhomogeneities in diluted magnetic systems

The presence of nanoscale inhomogeneities has been experimentally evidenced in several diluted magnetic systems, which in turn often leads to interesting physical phenomena. However, a proper theoretical understanding of the underlying physics is lacking in most of the cases. Here we present a detailed and comprehensive theoretical study of the effects of nanoscale inhomogeneities on the temperature dependent spontaneous magnetization in diluted magnetic systems, which is found to exhibit an unusual and unconventional behavior. The effects of impurity clustering on the magnetization response have hardly been studied until now. We show that nanosized clusters of magnetic impurities can lead to drastic effects on the magnetization compared to that of homogeneously diluted compounds. The anomalous nature of the magnetization curves strongly depends on the relative concentration of the inhomogeneities as well as the effective range of the exchange interactions. In addition we also provide a systematic discussion of the nature of the distributions of the local magnetization.