From ferromagnetism to spin-density wave: Magnetism in the two channel periodic Anderson model

TL;DR

This paper investigates the magnetic phase transitions in the two-channel periodic Anderson model, revealing ferromagnetism, band magnetism, and spin density wave behavior across different regimes using dynamical mean field theory.

Contribution

It provides a detailed analysis of magnetic properties and phase transitions in the two-channel periodic Anderson model, highlighting the crossover from mixed-valent to stable moment regimes.

Findings

Ferromagnetism at low carrier concentration in the mixed-valent regime.

Band magnetism with small moments in the Kondo regime.

Nearest neighbor antiferromagnetism and spin density wave transitions depending on band filling.

Abstract

The magnetic properties of the two-channel periodic Anderson model for uranium ions, comprised of a quadrupolar and a magnetic doublet are investigated through the crossover from the mixed-valent to the stable moment regime using dynamical mean field theory. In the mixed-valent regime ferromagnetism is found for low carrier concentration on a hyper-cubic lattice. The Kondo regime is governed by band magnetism with small effective moments and an ordering vector $\q$ close to the perfect nesting vector. In the stable moment regime nearest neighbour anti-ferromagnetism dominates for less than half band filling and a spin density wave transition for larger than half filling. $T_m$ is governed by the renormalized RKKY energy scale $\mu_{eff}^2 <X_\sigma>^2 J^2\rho_0(\mu)$.