Phase diagram of the Hubbard-Kondo lattice model from variational cluster approximation

Abstract

The interplay between the Kondo effect and magnetic ordering driven by the Ruderman-Kittel-Kasuya-Yosida interaction is studied within the two-dimensional Hubbard-Kondo lattice model. In addition to the antiferromagnetic exchange interaction, $J_{\perp }$, between the localized and the conduction electrons, this model also contains the local repulsion, $U$, between the conduction electrons. We use variational cluster approximation to investigate the competition between the antiferromagnetic phase, the Kondo singlet phase, and a ferrimagnetic phase on square lattice. At half-filling, the Néel antiferromagnetic phase dominates from small to moderate $J_{\perp }$ and $U{J}_{\perp }$, and the Kondo singlet elsewhere. Sufficiently away from half-filling, the antiferromagnetic phase first gives way to a ferrimagnetic phase (in which the localized spins order ferromagnetically, and the conduction electrons do likewise, but the two mutually align antiferromagnetically), and then to the Kondo singlet phase.

arXiv comment6 pages, 6 figures

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• Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model
• Evolution of the Andreev bands in the half-filled superconducting periodic Anderson model