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Research Express@NCKU - Articles Digest

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<strong>Research</strong> <strong>Express@NCKU</strong> - <strong>Articles</strong> <strong>Digest</strong>FIG 5. Exchange energy 8J vs d D .To identify the possible long-range magnetic ordering in these systems, the Heisenberg type of spincoupling is employed to model the interaction J between the nearest-neighbour magnetic moments dueto defects (FIG.5). There are only two systems, i.e. O N and V B , which have large enough exchangeenergies to be identified numerically as magnetically ordered systems. Within the framework of theHeisenberg model, it is possible to estimate the Curie temperature (T C ) while the estimated values(T MF C ) from the present treatment are expected as the upper bound. For O N systems with a defectconcentration of 3.125%, the T MF C can reach up to 72K. In summary, we have demonstrated that all thestudied defect systems with partially filled defect bands exhibited a definite preference for finitemagnetic moments. The magnetic properties can depend on the defect concentrations and a long-rangemagnetic order is likely to occur in the systems of high defect concentration like O N and V B whose defectbands are extended in nature.5 of 5

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