Inversion and magnetic quantum oscillations in symmetric periodic Anderson model

TL;DR

This paper investigates the symmetric periodic Anderson model on a square lattice, revealing a transition from Kondo singlet to antiferromagnetic phase and uncovering magnetic quantum oscillations linked to inverted quasiparticle bands.

Contribution

It introduces a self-consistent theory of charge and spin dynamics that uncovers inversion transitions and explains quantum oscillations in the model.

Findings

Insulating ground state with a continuous phase transition from Kondo to antiferromagnetic phase.

Discovery of two inversion transitions for charge quasiparticles.

Observation of magnetic quantum oscillations related to inverted quasiparticle bands.

Abstract

We study the symmetric periodic Anderson model of the conduction electrons hybridized with the localized correlated electrons on square lattice. Using the canonical representation of electrons by Kumar, we do a self-consistent theory of its effective charge and spin dynamics, which produces an insulating ground state that undergoes continuous transition from the Kondo singlet to N\'eel antiferromagnetic phase with decreasing hybridization, and uncovers two inversion transitions for the charge quasiparticles. With suitably inverted quasiparticle bands for moderate to weaker effective Kondo couplings, this effective charge dynamics in the magnetic field coupled to electronic motion produces magnetic quantum oscillations with frequency corresponding to the half Brillouin zone.