Abstract
A magnetic binary system is considered whereA-atoms andB-atoms occupy different sublattices but it is an exchangeJ AB which is responsible for magnetic ordering. Diluting such a system with nonmagnetic atoms it is natural to treat situations where the dilution probability is different for both sublattices. In particular the extreme cases, where either only theA-sublattice or only theB-sublattice is diluted, is discussed for a variety of lattice structures atT=0. It is shown that in some cases the problem can be reduced to ordinary site- or bond percolation problems, while in other cases a new kind of percolation problem arises. Particular attention is paid to the case of spinel structures, and a discussion of recent experiments on the mixed systemyMg2TiO4−(1−y)MgFe2O4 is given. It is shown that additional frustration effects due to competing interactions are necessary to explain the breakdown of magnetic order upon dilution in that material. Critical exponents for this new kind of percolation problem are also estimated by Monte-Carlo methods and it is suggested that it belongs to the same universality class as usual percolation. As a check of the numerical procedures we redetermine the percolation concentrations of both sublattices of the spinel structure, and find that some of the earlier work on this problem is rather inaccurate.
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Scholl, F., Binder, K. Selective sublattice dilution in ordered magnetic compounds: A new kind of percolation problem. Z. Physik B - Condensed Matter 39, 239–247 (1980). https://doi.org/10.1007/BF01292669
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DOI: https://doi.org/10.1007/BF01292669