Kondo lattices with inequivalent local moments: Competitive vs. co-operative Kondo screening

Abstract

While standard heavy fermion metals feature a single spin-1/2 local moment per unit cell, more complicated systems with multiple distinct local moments have been synthesized as well, with Ce_3Pd_20(Si,Ge)_6 being one example. Here, we discuss the physics of a Kondo lattice model with two local-moment sublattices, coupled with different Kondo couplings to conduction electrons. The phase diagram will be strongly modified from that of the standard Kondo lattice if the characteristic screening temperatures of the distinct moments are well separated. Therefore, we investigate the interplay between the two Kondo effects using a local self-energy approximation via slave bosons. We find that the two Kondo effects can either compete or co-operate depending on the conduction-band filling. In the regime of competition, small differences in the two Kondo couplings can lead to huge differences in the respective Kondo scales, due to non-trivial many-body effects. We also study the low-temperature properties of the collective heavy Fermi-liquid state and propose a connection to depleted Kondo lattice systems.

arXiv comment14 pages, 15 figures

References in corpus (16)

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• Fractionalized Fermi liquids
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• Kondo proximity effect: How does a metal penetrate into a Mott insulator?
• Partial Kondo screening in frustrated Kondo lattice systems
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• Random Kondo Alloys
• Crossover from dilute-Kondo system to heavy-fermion system
• Spontaneous interlayer coherence in bilayer Kondo systems

Cited by in corpus (16)

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• Ambient Pressure Superconductivity emerging in the Local Moment Antiferromagnetic Phase of Ce${}_3$PdIn${}_{11}$
• Magnetic field driven complex phase diagram of antiferromagnetic heavy-fermion superconductor Ce${}_3$PtIn${}_{11}$
• Dynamical mean-field study of partial Kondo screening in the periodic Anderson model on the triangular lattice
• Incommensurate short-range multipolar order parameter of phase II in Ce3Pd20Si6
• Momentum-space structure of quasielastic spin fluctuations in Ce3Pd20Si6
• Realistic many-body approaches to materials with strong nonlocal correlations
• Magnetic Kondo regimes in a frustrated half-filled trimer
• Molecular magnetism and crystal field effects in the Kondo system Ce${}_3$Pd${}_{20}$(Si,Ge)${}_6$ with two Ce sublattices
• Successive magnetic transitions in heavy fermion superconductor Ce3PtIn11 studied by 115In nuclear quadrupole resonance
• Enhanced antiferromagnetic ordering tendency in staggered periodic Anderson model
• Determination of the magnetic q vectors in the heavy fermion superconductor Ce3PtIn11
• Enhanced tendency of $d$-wave pairing and antiferromagnetism in doped staggered periodic Anderson model
• ${}^{105}$Pd NMR and NQR study of the cubic heavy fermion system Ce${}_3$Pd${}_{20}$Si${}_6$
• Structural 130-K Phase Transition and Emergence of a Two-Ion Kondo State in HT-Ce${}_2$Rh${}_2$Ga Explored by ${}^{69,71}$Ga Nuclear Quadrupole Resonance