Orbital order and Hund's rule frustration in Kondo lattices

Abstract

We analyze a microscopic origin of the Kondo effect-assisted orbital order in heavy-fermion materials. By studying the periodic two-orbital Anderson model with two local electrons, we show that frustration of Hund's rule coupling due to the Kondo effect leads to an incommensurate spiral orbital and magnetic order, which exists only inside the Kondo screened (heavy-electron) phase. This spiral state can be observed in neutron and resonant X-ray scattering measurements in $\mathrm{U}$- and $\mathrm{Pr}$-based heavy-fermion compounds, and realized in cold atomic gases, e.g. fermionic ${}^{173}\mathrm{Yb}$.

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References in corpus (5)

• Strong electronic correlations from Hund's coupling
• Orbital ordering phenomena in $d$- and $f$-electron systems
• The underscreened Kondo lattice model applied to heavy fermion uranium compounds
• Spin-orbit density wave induced hidden topological order in URu2Si2
• Application of the S=1 underscreened Anderson lattice model to Kondo uranium and neptunium compounds

Cited by in corpus (2)

• Heavy-fermion valence-bond liquids in ultracold atoms: Cooperation of Kondo effect and geometric frustration
• Pressure-induced Frustration of Magnetic Coupling in Elemental Europium