Cumulant expansion of the periodic Anderson model in infinite dimensions
Abstract
The diagrammatic cumulant expansion for the periodic Anderson model with infinite Coulomb repulsion 03054470/30/22/024/img5 is considered here for an hypercubic lattice of infinite dimension 03054470/30/22/024/img6. The nearest neighbour hopping of the uncorrelated electrons is described exactly by a conduction band, while two different models of hybridization are treated as a perturbation. The same type of simplifications obtained by Metzner for the cumulant expansion of the Hubbard model in the limit of 03054470/30/22/024/img7, are also shown to be valid for the periodic Anderson model. The derivation of these properties had to be modified because of the exact treatment of the conduction band.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 1997
 DOI:
 10.1088/03054470/30/22/024
 arXiv:
 arXiv:condmat/9708024
 Bibcode:
 1997JPhA...30.7879F
 Keywords:

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