Exact results for the one dimensional periodic Anderson model at finite U

TL;DR

This paper provides exact solutions for the one-dimensional periodic Anderson model with finite Hubbard interaction, identifying ground states and calculating energies and expectation values.

Contribution

It introduces a method to obtain exact results for the model at finite U in one dimension, revealing both insulating and metallic ground states.

Findings

Identifies two distinct ground states: insulating and metallic.

Calculates ground state energy and expectation values.

Provides exact solutions for finite U in 1D.

Abstract

We present exact results for the periodic Anderson model for finite Hubbard interaction 0 <= U < +infinity on certain restricted domains of the model's phase diagram, in d=1 dimension. Decomposing the Hamiltonian into positive semidefinite terms we find two quantum states to be ground state, an insulating and a metallic one. The ground state energy and several ground state expectation values are calculated.