Valence transition in the periodic Anderson model

Details Valence transition in the periodic Anderson model Valence transition in the periodic Anderson model

2005-04-07

arxiv.org/abs/cond-mat/0504188v2

Eur. Phys. J. B 52, 345 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 3 figures included; v2: completely revised and extended version

Scientific paper

10.1140/epjb/e2006-00303-x

A very rich phase diagram has recently been found in CeCu$_{2}$Si$_{2}$ from high pressure experiments where, in particular, a transition between an intermediate valence configuration and an integral valent heavy fermion state has been observed. We show that such a valence transition can be understood in the framework of the periodic Anderson model. In particular, our results show a breakdown of a mixed-valence state which is accompanied by a drastic change in the \textit{f} occupation in agreement with experiment. This valence transition can possibly be interpreted as a collapse of the large Fermi surface of the heavy fermion state which incorporates not only the conduction electrons but also the localized \textit{f} electrons. The theoretical approach used in this paper is based on the novel projector-based renormalization method (PRM). With respect to the periodic Anderson model, the method was before only employed in combination with the basic approximations of the well-known slave-boson mean-field theory. In this paper, the PRM treatment is performed in a more sophisticated manner where both mixed as well as integral valent solutions have been obtained. Furthermore, we argue that the presented PRM approach might be a promising starting point to study the competing interactions in CeCu$_{2}$Si$_{2}$ and related compounds.

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