Doping-dependent study of the periodic Anderson model in three dimensions

Details Doping-dependent study of the periodic Anderson model in three dimensions Doping-dependent study of the periodic Anderson model in three dimensions

2001-09-26

arxiv.org/abs/cond-mat/0109497v2

Phys. Rev. B 68, 195111 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 8 figures

Scientific paper

10.1103/PhysRevB.68.195111

We study a simple model for $f$-electron systems, the three-dimensional periodic Anderson model, in which localized $f$ states hybridize with neighboring $d$ states. The $f$ states have a strong on-site repulsion which suppresses the double occupancy and can lead to the formation of a Mott-Hubbard insulator. When the hybridization between the $f$ and $d$ states increases, the effects of these strong electron correlations gradually diminish, giving rise to interesting phenomena on the way. We use the exact quantum Monte-Carlo, approximate diagrammatic fluctuation-exchange approximation, and mean-field Hartree-Fock methods to calculate the local moment, entropy, antiferromagnetic structure factor, singlet-correlator, and internal energy as a function of the $f-d$ hybridization for various dopings. Finally, we discuss the relevance of this work to the volume-collapse phenomenon experimentally observed in f-electron systems.

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