Theoretical models for a complex magnetic system:
The case of CeNi1-xCux-Cux
 The interplay between disorder and strong correlations has been observed 
 experimentally in disordered Cerium alloys such as Ce(Ni,Cu) or Ce(Pd,Rh). In the  case of Ce(Ni,Cu) alloys with a Cu concentration x between 0.6 and 0.3, the first studies  have shown a smooth transition with decreasing temperature from a spin glass phase  to ferromagnetism; for x smaller than 0.2, a Kondo phase has been observed. The  situation is more complicate now due to the recent observation of magnetic clusters.  The competition between the Kondo effect, the spin glass (SG) and the ferromagnetic  (FE) ordering has been extensively studied theoretically. The Kondo effect is described  by the usual mean field approximation; we have treated the SG behavior successively  by the Sherrington-Kirkpatrick model, then by the Mattis model and finally by the  van Hemmen model, which takes both a ferromagnetic part and a site-disorder random  part for the inter-site exchange interaction. We present here the results obtained by  the van Hemmen-Kondo model: for a large Kondo exchange JK, a Kondo phase is  obtained, while, for smaller JK, the succession of a spin glass phase, a mixed SG-FE  one and finally a FE one has been obtained with decreasing temperature. This model  improves the theoretical description of disordered Kondo systems by providing a simpler  approach for further calculations of magnetic clusters and can, therefore, account for  recent experimental data on disordered Cerium systems.
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