Exact Insulating and Conducting Ground States of a Periodic Anderson Model in Three Dimensions

TL;DR

This paper derives exact insulating and conducting ground states for a 3D periodic Anderson model at 3/4 filling, revealing a non-Fermi liquid metallic phase with unique band structure.

Contribution

It introduces a novel method using composite operators and matching conditions to exactly solve the ground states of a complex 3D Anderson model.

Findings

Identifies stable insulating and conducting ground states.

Discovers a non-Fermi liquid metallic phase with flat and dispersing bands.

Provides a framework for exact solutions in strongly correlated systems.

Abstract

We present a class of exact ground states of a three-dimensional periodic Anderson model at 3/4 filling. Hopping and hybridization of d and f electrons extend over the unit cell of a general Bravais lattice. Employing novel composite operators combined with 55 matching conditions the Hamiltonian is cast into positive semidefinite form. A product wave function in position space allows one to identify stability regions of an insulating and a conducting ground state. The metallic phase is a non-Fermi liquid with one dispersing and one flat band.