Strong-coupling approach to ground-state properties of the Anderson lattice-model

TL;DR

This paper develops a slave-boson perturbational method for analyzing the ground-state properties of the infinite-U periodic Anderson model, avoiding certain constraints and providing a diagrammatic representation.

Contribution

It introduces a new perturbational approach around the atomic limit for the Anderson lattice model, connecting it with the infinite-dimensional limit.

Findings

Derived a self-consistent 1/N-expansion method.

Avoided constraint-integrals at zero temperature.

Linked the approach to the infinite dimension limit.

Abstract

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting procedure can be avoided, a gauge-symmetry broken Mean-Field phase is not involved. Physical quantities like the wave vector $k$ dependent Green's function obey a direct representation in Feynman-skeleton diagrams in $k$-space. A self-consistent $1/N$-expansion is derived, and its relation to the limit of infinite spatial dimension $d\to\infty$ is pointed out.