Molecular Kondo effect in flat-band lattices

Abstract

The Kondo effect of a single magnetic impurity embedded in the Lieb lattice is studied by the numerical renormalization group. When the band flatness is present in the local density of states, it quenches the participation of all dispersive electrons in the Kondo singlet formation, and reduces the many-body Kondo problem to a two-electron molecular Kondo problem. The two-electron analog of the many-body Kondo singlet, a quantum entanglement of two spins, is stable at low temperature, and the impurity contributions to thermodynamical and dynamical quantities are qualitatively different from that obtained in the conventional Kondo effect in systems without flat bands. The existence conditions of the molecular Kondo effect in narrow band systems are also discussed.

References in corpus (11)

• The numerical renormalization group method for quantum impurity systems
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
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• Experimental realization and characterization of an electronic Lieb lattice
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• Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
• Topological Insulators on the Lieb and Perovskite Lattices
• Energy resolution and discretization artefacts in the numerical renormalization group
• The Physics of Kondo Impurities in Graphene
• Adaptive logarithmic discretization for numerical renormalization group methods

Cited by in corpus (8)

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• Kondo screening and coherence in kagome local-moment metals: Energy scales of heavy fermions in the presence of flat bands
• Selective Kondo strong coupling in magnetic impurity flat-band lattices
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Influence of flat bands on RKKY interaction: perspective of Fano defects
• Flat bands on spherical surface: from Landau levels to giant-quantum-number orbitals
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals