Effects of doping on spin correlations in the periodic Anderson model

TL;DR

This study investigates how hole doping influences spin correlations in the periodic Anderson model, revealing the development of anti-ferromagnetic and novel spin states, and contrasting these effects with the Hubbard model.

Contribution

It provides new insights into doping-induced spin correlation behaviors in the periodic Anderson model, highlighting differences from the Hubbard model.

Findings

Strong anti-ferromagnetic correlations at full lower band with high U

Emergence of a novel spin correlation at three-quarters filling

Doping destroys long-range anti-ferromagnetic order rapidly

Abstract

We studied the effects of hole doping on spin correlations in the periodic Anderson model, mainly at the full and three-quarters-full lower bands cases. In the full lower band case, strong anti-ferromagnetic correlations develop when the on-site repulsive interaction strength $U$ becomes comparable to the quasi-particle band width. In the three-quarters full case, a novel kind of spin correlation develops that is consistent with the resonance between a $(\pi,0)$ and a $(0,\pi)$ spin-density wave. In this state the spins on different sublattices appear uncorrelated. Hole doping away from the completely full case rapidly destroys the long-range anti-ferromagnetic correlations, in a manner reminiscent of the destruction of anti-ferromagnetism in the Hubbard model. In contrast to the Hubbard model, the doping does not shift the peak in the magnetic structure factor from the $(\pi,\pi)$ position. At dopings intermediate to the full and three-quarters full cases, only weak spin correlations exist.