Cumulant expansion of the periodic Anderson model in infinite dimension

TL;DR

This paper applies the diagrammatic cumulant expansion to the periodic Anderson model in infinite dimensions, demonstrating that simplifications similar to those in the Hubbard model also hold for this model.

Contribution

It extends the cumulant expansion approach to the periodic Anderson model in infinite dimensions, showing the validity of simplifications known from the Hubbard model.

Findings

Simplifications from the Hubbard model apply to the periodic Anderson model in infinite dimensions.

The cumulant expansion method is effective for analyzing the periodic Anderson model.

The approach facilitates understanding of strongly correlated electron systems.

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.