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Dickey, R. P.; Zapf, V. S.; Ho, Pei-Chun; Freeman, E. J.; Frederick, N. A.; Maple, M. B.

doi:10.1103/physrevb.68.104404

Cited by 6 publications

(6 citation statements)

References 24 publications

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“…For instance, the resistivity of the strongly correlated f -electron system Sc 1−x U x Pd 3 was indeed observed to follow the form ρ(T ) = ρ 0 − AT n with an exponent n 0.5 (ref. 26), consistent with the n = 1/2 expectation of the theoretical multichannel Kondo model for T T K (ref. 9).…”

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confidence: 64%

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Incoherent non-Fermi-liquid scattering in a Kondo lattice

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Sayles

et al. 2007

Nature Phys

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One of the most notorious non-Fermi-liquid properties of both archetypal heavy-fermion systems 1-4 and the high-T c copper oxide superconductors 5 is an electrical resistivity that evolves linearly (rather than quadratically) with temperature, T . In the heavy-fermion superconductor CeCoIn 5 (ref. 6), this linear behaviour was one of the first indications of the presence of a zero-temperature instability, or quantum critical point. Here, we report the observation of a unique control parameter of T -linear scattering in CeCoIn 5 , found through systematic chemical substitutions of both magnetic and non-magnetic rareearth, R, ions into the Ce sublattice. We find that the evolution of inelastic scattering in Ce 1−x R x CoIn 5 is strongly dependent on the f -electron configuration of the R ion, whereas two other key properties-Cooper-pair breaking and Kondo-lattice coherence-are not. Thus, T -linear resistivity in CeCoIn 5 is intimately related to the nature of incoherent scattering centres in the Kondo lattice, which provides insight into the anomalous scattering rate synonymous with quantum criticality 7 . Although recent theories 4,[8][9][10] provide possible routes to an explanation of T-linear resistivity-found in both f -electron systems (for example, Y 1−x U x Pd 3 (ref. [1][2][3][4]6 , its coexistence with conventional (T 2 ) Hall-angle scattering 11,12 and its inconsistency with oneparameter scaling 13 . Most recently, its observation over three decades of T at the field-tuned quantum critical point (QCP) of CeCoIn 5 has been linked to a violation of the Wiedemann-Franz law 14 , an indication that this scattering rate is associated with the failure of Fermi-liquid theory in its most basic form.Here, we present a rigorous study of the effects of rare-earth substitution on three closely related features of the exotic metal CeCoIn 5 : unconventional superconductivity, Kondo-lattice coherence and anomalous charge-carrier scattering. By diluting the Ce lattice within high-quality single-crystal specimens of Ce 1−x R x CoIn 5 with both non-magnetic (full or empty 4f -shell) and stable-4f -moment substituent ions of varying size and electronic configuration, we are able to inject both 'Kondo holes' (isoelectronic ions without magnetic moments) and strongly localized magnetic moments into the coherent Kondo lattice. This has allowed us to probe the spin exchange between the Ce 3+ localized magnetic moments and the spins of the conduction electrons involved in Cooper pairing, Kondo screening and anomalous transport in a controlled way, revealing a surprising contrast between the response of coherent phenomena and non-Fermi-liquid behaviour to this perturbation. Figure 1 shows the evolution of both the superconducting transition temperature T c (identified by the transition in resistivity, ρ) and Kondo-lattice coherence temperature T coh (identified by the maximum in ρ(T )) for all rare-earth substitutions made in Ce 1−x R x CoIn 5 through the complete range of concentrations where both features exist. As shown, the...

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confidence: 64%

“…9). However, the n < 1 curvature in Sc 1−x U x Pd 3 is more likely due to quantum criticality associated with the suppression of spin-glass freezing to T = 0 near x c 0.3, rather than the multichannel Kondo effect 26 .…”

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confidence: 99%

Incoherent non-Fermi-liquid scattering in a Kondo lattice

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Sayles

et al. 2007

Nature Phys

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“…Perhaps, since U 1−x Th x Be 13 with x = 0.1 is far from the dilute limit, lattice effects might play a role in reversing the sign of that coefficient. While later measurements on the same compound have confirmed the ͱ T behavior with a positive coefficient, 28 on the other hand, a ͱ T scaling of the resistivity with a negative coefficient has been recently observed in a different uranium-based heavy-fermion material Sc 1−x U x Pd 3 ͑but only for large dopings, x Ϸ 0.35, 29 when a single-impurity description of the low-temperature physics is not always expected͒.…”

Section: ͑39͒mentioning

confidence: 90%

Two-channel Anderson impurity model: Single-electron Green’s function, self-energies, and resistivity

2005

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We compute exactly the low-energy single-electron Green's function, the impurity and electron selfenergies, and the resistivity for the two-channel Anderson impurity model. These results are obtained by exploiting the boundary conformal field theory identified from the Bethe ansatz solution of the model. Using that solution we can make contact with the parameters of the original Hamiltonian and provide the detailed crossover between the two integer valence limits. Our results generalize those obtained previously in the context of the two-channel Kondo model.with a "free-electron" boundary condition L␣ ͑0͒ = R␣ ͑0͒ imposed at the origin r =0. 10 The Hamiltonian is then given bywhere H bulk = ͵ 0 ϱ dr͓: L␣ † ͑r͒͑i‫ץ‬ r ͒ L␣ ͑r͒:− : R␣ † ͑r͒͑i‫ץ‬ r ͒ R␣ ͑r͒:͔,PHYSICAL REVIEW B 71, 195107 ͑2005͒

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“…The electrical resistivity of the NFL systems displays power law behavior of the form ρ(T ) ∼ ρ 0 ± AT n where n is often close to 1 or 3/2 and in a few instances as low as 1/2 [33,34]. In many cases, the power law dependence can extend over several decades in temperature.…”

Section: Issues Concerning Characterization Of Nfl Behaviormentioning

confidence: 99%

“…Interestingly, the electronic specific heat in Sc 1−x U x Pd 3 was found to follow the form of (2) for T above the SG transition, while for 0.05 K < T < 2.5 K, the electrical resistivity follows ρ(T ) ∼ 1 − a(T /T K ) n , where n ranges from 1.3 at x = 0.2 to 0.5 at x = 0.35 [33]. Surprisingly, for concentrations in the vicinity of the onset of SG freezing, the low-T resistivity is indeed consistent with the QKE.…”

Section: Y 1−x U X Pdmentioning

confidence: 99%

Non-Fermi Liquid Regimes and Superconductivity in the Low Temperature Phase Diagrams of Strongly Correlated d- and f-Electron Materials

et al. 2010

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Standard models for simple metals and insulators often fail for systems based on elements with unstable d-or f -electron shells, where strong electronic correlations can generate new and unexpected states of matter. Such a scenario can often be induced when a magnetic phase transition is tuned to absolute zero temperature by an external control parameter such as chemical composition, pressure or magnetic field. At the resulting quantum critical point (QCP), emergent phenomena, such as unconventional superconductivity and novel magnetic phases are frequently observed. The temperature and energy dependences of the physical properties are also found to deviate from expectations for a simple Fermi liquid. This "non-Fermi-liquid" (NFL) behavior is commonly manifested as weak power laws and logarithmic divergences in the physical properties at low temperatures and is often found in a V-shaped region near a QCP, which has become the "classic" QCP phase diagram. However, there is also a growing number of materials where the NFL behavior either occurs far away from the QCP, within an ordered phase, or may not be associated with any putative QCP. Thus, after nearly 20 years of research, it remains unknown whether NFL physics is universal, or if a multitude of unique subclasses exist. In this article, we review research that has primarily been carried out in our laboratory on systems that exhibit NFL behavior that does not conform to the "classic" QCP scenario.

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Interplay between magnetism and non-Fermi-liquid behavior inSc1−xUx

Cited by 6 publications

References 24 publications

Incoherent non-Fermi-liquid scattering in a Kondo lattice

Incoherent non-Fermi-liquid scattering in a Kondo lattice

Two-channel Anderson impurity model: Single-electron Green’s function, self-energies, and resistivity

Non-Fermi Liquid Regimes and Superconductivity in the Low Temperature Phase Diagrams of Strongly Correlated d- and f-Electron Materials

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