Heavy-fermion valence-bond liquids in ultracold atoms: Cooperation of Kondo effect and geometric frustration

Abstract

We analyze a microscopic mechanism behind coexistence of a heavy Fermi liquid and geometric frustration in Kondo lattices. We consider a geometrically frustrated periodic Anderson model and demonstrate how orbital fluctuations lead to a Kondo-screened phase in the limit of extreme strong frustration when only local {\it singlet} states participate in the low-energy physics. We also propose a setup to realize and study this exotic state with $SU(3)$-symmetric alkaline-earth cold atoms.

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Cited by in corpus (18)

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• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Kondo Effect in Alkali-Earth Atomic Gases with Confinement-induced Resonance
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
• Coqblin-Schrieffer Model for an Ultra-cold Gas of Ytterbium atoms with Metastable States
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Repulsive polarons in alkaline-earth(-like) atoms across an orbital Feshbach resonance
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• Dissipative realization of Kondo models
• Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry
• Tuning Feshbach resonance in cold atomic gases with inter-channel coupling
• Efimov Enhanced Kondo Effect in Alkaline and Alkaline-Earth Atomic Gas Mixture
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Asymmetric Conductivity of the Kondo Effect in Cold Atomic Systems
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order