Cumulant expansion of the periodic Anderson model in infinite dimension

Abstract

The diagrammatic cumulant expansion for the periodic Anderson model with infinite Coulomb repulsion ($U=\infty$) is considered here for an hypercubic lattice of infinite dimension ($d=\infty$). The same type of simplifications obtained by Metzner for the cumulant expansion of the Hubbard model in the limit of $d=\infty$, are shown to be also valid for the periodic Anderson model.

13 pages, 7 figures.ps. To be published in J. Phys. A: Mathematical and General (1997)

References in corpus (1)

• Insulator-to-metal transition in Kondo insulators under strong magnetic field

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• The periodic Anderson model from the atomic limit and FeSi
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• Study of the Kondo and high-temperature limits of the slave-boson and X-boson methods