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• W2091253009 abstract "The thermodynamic and transport properties of intermetallic compounds with Ce, Eu, and Yb ions are discussed using the periodic Anderson model with an infinite correlation between $f$ electrons. At high temperatures, these systems exhibit typical features that can be understood in terms of a single-impurity Anderson or Kondo model with Kondo scale ${T}_{K}$. At low temperatures, one often finds a normal state governed by the Fermi liquid (FL) laws with characteristic energy scale ${T}_{0}$. The slave boson solution of the periodic model shows that ${T}_{0}$ and ${T}_{K}$ depend not only on the degeneracy and the splitting of the $f$ states, the number of $c$ and $f$ electrons, and their coupling but also on the shape of the conduction-electrons density of states ($c$ DOS) in the vicinity of the chemical potential $ensuremath{mu}$. The ratio ${T}_{0}/{T}_{K}$ depends on the details of the band structure which makes the crossover between the high- and low-temperature regimes system dependent. We show that the $c$ DOS with a sharp peak close to $ensuremath{mu}$ yields ${T}_{0}⪡{T}_{K}$, which explains the ``slow crossover'' observed in ${text{YbAl}}_{3}$ or ${text{YbMgCu}}_{4}$. The $c$ DOS with a minimum or a pseudogap close to $ensuremath{mu}$ yields ${T}_{0}⪢{T}_{K}$; this leads to an abrupt transition between the high- and low-temperature regimes, as found in ${text{YbInCu}}_{4}$-like systems. In the case of ${text{CeCu}}_{2}{text{Ge}}_{2}$ and ${text{CeCu}}_{2}{text{Si}}_{2}$, where ${T}_{0}ensuremath{simeq}{T}_{K}$, we show that the pressure dependence of the ${T}^{2}$ coefficient of the electrical resistance, $A=ensuremath{rho}(T)/{T}^{2}$, and the residual resistance are driven by the change in the degeneracy of the $f$ states. The FL laws obtained for $T⪡{T}_{0}$ explain the correlation between the specific-heat coefficient $ensuremath{gamma}={C}_{V}/T$ and the thermopower slope $ensuremath{alpha}(T)/T$ or between $ensuremath{gamma}$ and the resistivity coefficient $A$. The FL laws also show that the Kadowaki-Woods ratio, ${R}_{KW}=A/{ensuremath{gamma}}^{2}$, and the ratio $q={text{lim}}_{{Tensuremath{rightarrow}0}}ensuremath{alpha}/ensuremath{gamma}T$ assumes nonuniversal values due to different low-temperature degeneracies of various systems. The correlation effects can invalidate the Wiedemann-Franz law and lead to an enhancement of the thermoelectric figure of merit. They can also enhance (or reduce) the low-temperature response of the periodic Anderson model with respect to the predictions of a single-impurity model with the same high-temperature behavior as the periodic one." @default.
• W2091253009 created "2016-06-24" @default.
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• W2091253009 date "2009-03-31" @default.
• W2091253009 modified "2023-10-16" @default.
• W2091253009 title "Multiple temperature scales of the periodic Anderson model: Slave boson approach" @default.
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• W2091253009 doi "https://doi.org/10.1103/physrevb.79.115139" @default.
• W2091253009 hasPublicationYear "2009" @default.
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