Abstract
We study the stability of ferromagnetism in intermediate valence systems which fluctuate between a magnetic (J≠0) and a non-magnetic (J=0) state as e.g. EuO. We consider thes-f model extended by a hybridization term as a good description of the normal valence as well as the intermediate valence phase of such materials. Special attention is devoted to the competing influence ofs-f exchange ands-f hybridization on the Curie temperatureT c. For large gaps between the localizedf-level and the conduction band (normal valence phase!)s-f exchange ands-f hybridization both tend to stabilize magnetism giving rise to an effective exchange interaction betweenf-moments. This effective exchange increases with decreasing gap leading to a substantialT c-enhancement for small gaps. In the intermediate valence phase, however, electronic fluctuations destroy the collective magnetism, and that twofold, namely by reducing the local magnetic moment and by enhancing entropy-influences. The latter leads toT c→0, therewith determining the boundary between the ferromagnetic and paramagnetic phase. A corresponding phase diagramm, in dependence of hybridizationV andf-level positionE f, is derived and discussed.
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It is easy to see that ifm f>0 is a solution of our set of equations this is valid for (−m f), too. Numerically we have found only one solutionm f>0 besides the paramagnetic onem f=0. So we conclude that the free energy should have a maximum at the paramagnetic solution and two minima atm f and (−m f). The ferromagnetic solution (m f≠0) is stable
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Matlak, M., Nolting, W. On the stability of ferromagnetism in intermediate valence systems. Z. Physik B - Condensed Matter 55, 103–110 (1984). https://doi.org/10.1007/BF01420561
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DOI: https://doi.org/10.1007/BF01420561