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 ${}^{173}\mathrm{Yb}$.

arXiv commentTeXLive(Unix)

References in corpus (19)

• Strong electronic correlations from Hund's coupling
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Hidden Orbital Order in $UR{u}_{2}S{i}_2$
• Triple-q octupolar ordering in NpO_2
• Observation of Modulated Quadrupolar Structures in PrPb3
• The Crystal Field Potential of PrOs4Sb12: Consequences for Superconductivity
• Enhancement of Kondo effect in quantum dots with an even number of electrons
• Orbital ordering phenomena in $d$- and $f$-electron systems
• Conduction through a quantum dot near a singlet-triplet transition
• Construction of microscopic model for f-electron systems on the basis of j-j coupling scheme
• Kondo tunneling through real and artificial molecules
• The underscreened Kondo lattice model applied to heavy fermion uranium compounds
• Microscopic theory of multipole ordering in NpO2
• Mean Field Theory of the Kondo Effect in Quantum Dots with an Even Number of Electrons
• Spin-orbit density wave induced hidden topological order in URu2Si2
• Fermionic Atoms in Optical Superlattices
• Application of the S=1 underscreened Anderson lattice model to Kondo uranium and neptunium compounds
• Double-Exchange Ferromagnetism and Orbital-Fluctuation-Induced Superconductivity in Cubic Uranium Compounds
• Semi-fermionic representation for spin systems under equilibrium and non-equilibrium conditions

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