Kondo-hole substitution in heavy fermions: dynamics and transport

Abstract

Kondo-hole substitution is a unique probe for exploring the interplay of interactions, f-electron dilution and disorder in heavy fermion materials. Within the diluted periodic Anderson model, we investigate the changes in single-particle dynamics as well as response functions, as a function of Kondo hole concentration ($x$) and temperature. We show that the spectral weight transfers due to Kondo hole substitution has characteristics that are different from those induced by temperature; The dc resistivity crosses over from a highly non-monotonic form with a coherence peak in the $x\to 0$ limit to a monotonic single-impurity like form that saturates at low temperature. The thermopower exhibits a characteristic maximum as a function of temperature, the value of which changes sign with increasing $x$, and its location is shown to correspond to a low energy scale of the system. The Hall coefficient also changes sign with increasing $x$ at zero temperature and is highly temperature dependent for all $x$. As $x$ is increased beyond a certain $x_c$, the Drude peak and the mid-infrared peak in the optical conductivity vanish almost completely; A peak in the optical scattering rate melts and disappears eventually. We discuss the above-mentioned changes in the properties in terms of a crossover from coherent, Kondo lattice behaviour to single impurity like, incoherent behaviour with increasing $x$. A comparison of theory with experiments carried out for the dc resistivity and the thermopower of Ce${}_{1-x}$La${}_x$B${}_6$ yields good agreement.

arXiv comment12 Pages, 15 figures

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Cited by in corpus (6)

• Emergent Coherent Lattice Behavior in Kondo Nanosystems
• Ce-site dilution in the ferromagnetic Kondo lattice CeRh${}_6$Ge${}_4$
• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Breakdown of coherence in Kondo alloys: crucial role of concentration vs band filling
• Photo-emission signatures of coherence breakdown in Kondo alloys: dynamical mean-field theory approach