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Aronson, M. C.; Osborn, R.; Robinson, R. A.; Lynn, J. W.; Chau, R.; Seaman, C. L.; Maple, M. B.

doi:10.1103/physrevlett.75.725

Cited by 229 publications

(212 citation statements)

References 30 publications

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“…The same scaling function used to fit heavy fermion 5f materials (Aronson et al, 1995) was also used by Helton et al (2010) to fit their INS data on herbertsmithite (Fig. 10, left).…”

Section: B Quantum Criticality Versus Random Bondsmentioning

confidence: 99%

Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the appearance of magnetism. In two dimensions, the classic example is the kagome lattice composed of corner sharing triangles. There are a variety of minerals whose transition metal ions form such a lattice. Hence, a number of them have been studied, and were then subsequently synthesized in order to obtain more pristine samples. Of particular note was the report in 2005 by Dan Nocera's group of the synthesis of herbertsmithite, composed of a lattice of copper ions sitting on a kagome lattice, which indeed does not order down to the lowest measured temperature despite the existence of a large exchange interaction of 17 meV. Over the past decade, this material has been extensively studied, yielding a number of intriguing surprises that have in turn motivated a resurgence of interest in the theoretical study of the spin 1 2 Heisenberg model on a kagome lattice. In this colloquium article, I will review these developments, and then discuss potential future directions, both experimental and theoretical, as well as the challenge of doping these materials with the hope that this could lead to the discovery of novel topological and superconducting phases.

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“…The same scaling function used to fit heavy fermion 5f materials (Aronson et al, 1995) was also used by Helton et al (2010) to fit their INS data on herbertsmithite (Fig. 10, left).…”

Section: B Quantum Criticality Versus Random Bondsmentioning

confidence: 99%

Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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“…Since the ω/T scaling is found in a sample that is close to the SG QCP, it is tempting to ascribe the ω/T scaling of χ (ω, T ) with α = 1/5 to magnetic fluctuations associated with the spin glass (SG) QCP. Because similar scaling has been observed in UCu 5−x Pd x (α = 1/3) [62,63] and CeCu 6−x Au x (α = 0.75) [64], both of which have AFM QCPs, URu 2−x Re x Si 2 (α ranging from 0.2 at x = 0.2 to 0.5 at x = 0.6), which has a FM QCP [65], it is possible that the NFL behavior in all of these systems is tied to quantum criticality, specifically related to local moment fluctuations, regardless of the exact nature of the magnetically ordered phase.…”

Section: Y 1−x U X Pdmentioning

confidence: 64%

“…The case for NFL behavior was strengthened by a subsequent inelastic neutron scattering study, which found energy-temperature (ω/T ) scaling in the dynamic magnetic susceptibility [120]. The significance of this behavior, identified in varied NFL materials like UCu 5−x Pd x [62]and Sc 1−x U x Pd 3 [61], is that the temperature itself acts like the energy scale in the system, as would happen in the absence of an effective Fermi energy. Also, the scaling exponents determined from ω/T scaling agree with the NFL exponents from the power-law T dependence in bulk χ(T ).…”

Section: Uru 2 Simentioning

confidence: 98%

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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“…In UCu 4 Pd µSR relaxation [4,5] and inelastic neutron scattering [8,9] values of the scaling exponent γ are found to agree (γ ≈ 0.3), indicating a remarkable scaling of the spin dynamics scale over three orders of magnitude in frequency. EXAFS studies of UCu 4 Pd [10] showed that Cu-Pd site exchange was responsible for much of the observed disorder.…”

Section: Introductionmentioning

confidence: 80%

Effect of annealing on glassy dynamics and non-Fermi liquid behavior in Pd

MacLaughlin¹,

Rose²,

Anderson³

et al. 2006

Physica B: Condensed Matter

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Longitudinal-field muon spin relaxation (LF-µSR) experiments have been performed in unannealed and annealed samples of the heavy-fermion compound UCu4Pd to study the effect of disorder on non-Fermi liquid behavior in this material. The muon spin relaxation functions G(t, H) obey the time-field scaling relation G(t, H) = G(t/H γ ) previously observed in this compound. The observed scaling exponent γ = 0.3±0.1, independent of annealing. Fits of the stretched-exponential relaxation function G(t) = exp[−(Λt) K ] to the data yielded stretching exponentials K < 1 for all samples. Annealed samples exhibited a reduction of the relaxation rate at low temperatures, indicating that annealing shifts fluctuation noise power to higher frequencies. There was no tendency of the inhomogeneous spread in rates to decrease with annealing, which modifies but does not eliminate the glassy spin dynamics reported previously in this compound. The correlation with residual resistivity previously observed for a number of NFL heavy-electron materials is also found in the present work.

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Non-Fermi-Liquid Scaling of the Magnetic Response in UCu5−xPdx(x

Cited by 229 publications

References 30 publications

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Colloquium : Herbertsmithite and the search for the quantum spin liquid

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

Effect of annealing on glassy dynamics and non-Fermi liquid behavior in Pd

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