Ferromagnetism in the Strong Hybridization Regime of the Periodic Anderson Model

TL;DR

This paper rigorously proves the existence of a ferromagnetic ground state in the one-dimensional periodic Anderson model within the strong hybridization regime, revealing a new magnetic phase in mixed valence systems.

Contribution

It provides an exact solution showing ferromagnetism in the PAM's strong hybridization regime, a previously unconfirmed magnetic state.

Findings

Ferromagnetic ground state exists for electron densities between half and three quarters filling.

The low energy sector maps into an effective Hamiltonian with ferromagnetic order.

The result extends understanding of magnetic phases in mixed valence systems.

Abstract

We determine exactly the ground state of the one-dimensional periodic Anderson model (PAM) in the strong hybridization regime. In this regime, the low energy sector of the PAM maps into an effective Hamiltonian that has a ferromagnetic ground state for any electron density between half and three quarters filling. This rigorous result proves the existence of a new magnetic state that was excluded in the previous analysis of the mixed valence systems.