Multiplet Effects in the Quasiparticle Band Structure of the $f^1-f^2$ Anderson Model

TL;DR

This paper investigates the quasiparticle electronic structure of the $f^1-f^2$ Anderson lattice model using a slave boson mean field approach, revealing how multiplet effects influence crystal field splitting in correlated metals.

Contribution

It introduces a mean field analysis of the $f^1-f^2$ Anderson model that highlights the role of multiplet structure in quasiparticle behavior, relevant for heavy fermion materials.

Findings

Multiplet structure quenches crystal field splitting in quasiparticle bands.

Results align with experimental data on uranium-based heavy fermion superconductors.

Provides insights into correlated electron systems with multiple f electrons.

Abstract

In this paper, we examine the mean field electronic structure of the $f^1-f^2$ Anderson lattice model in a slave boson approximation, which should be useful in understanding the physics of correlated metals with more than one f electron per site such as uranium-based heavy fermion superconductors. We find that the multiplet structure of the $f^2$ ion acts to quench the crystal field splitting in the quasiparticle electronic structure. This is consistent with experimental observations in such metals as $UPt_3$.