Valence Fluctuations Revealed by Magnetic Field and Pressure Scans: Comparison with Experiments in YbXCu<sub>4</sub>(X=In, Ag, Cd) and CeYIn<sub>5</sub>(Y=Ir, Rh)

Watanabe, Shinji; Tsuruta, Akihiro; Miyake, Kazumasa; Flouquet, J.

doi:10.1143/jpsj.78.104706

Cited by 49 publications

(65 citation statements)

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“…Logarithmic divergence in specific heat C/T ∼ − log T appears near H = H * [64]. We pointed out that field dependence of the QCEP in H PAM well explains the emergence of the T * (H) line in the T -H phase diagram of CeIrIn 5 [25,36].…”

Section: Ceirinmentioning

confidence: 62%

“…Indeed, it has been shown theoretically that interplay of the QCEP of the FOVT and magnetism gives a unified explanation for several anomalies such as drastic change of Fermi surface and non-Fermi liquid transport observed in CeRhIn 5 under pressure [25,26]. Namely, the results discussed for Fig.…”

Section: Ceirinmentioning

confidence: 73%

“…To clarify the fundamental properties of the model H PAM , intensive efforts have been made: Mean-field theories were applied to H PAM in the d = 3 [25], d = 2 [26], and d = 1 [27] systems with d being a spatial dimension. Numerical calculations by the DMRG in the d = 1 system [27] and the DMFT in the d = ∞ system [28] were also performed.…”

Section: Phase Diagrammentioning

confidence: 99%

“…Here, we note that a fieldinduced QCEP of the FOVT can explain the emergence of the T * (H) line. Recently, magnetic field dependence of the QCEP has been theoretically studied on the basis of H PAM (1) [25,36]. It has revealed that the QCEP extends to the smaller-U fc region in Fig.…”

Section: Ybrhmentioning

confidence: 99%

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New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Watanabe¹,

Miyake²

2012

J. Phys.: Condens. Matter

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Abstract.A new universality class of quantum criticality emerging in itinerant electron systems with strong local electron correlations is discussed. The quantum criticality of a Ce-or Yb-valence transition gives us a unified explanation for unconventional criticality commonly observed in heavy fermion metals such as YbRh 2 Si 2 and β-YbAlB 4 , YbCu 5−x Al x , and CeIrIn 5 . The key origin is due to the locality of the critical valence fluctuation mode emerging near the quantum critical end point of the first-order valence transition, which is caused by strong electron correlations for f electrons. Wider relevance of this new criticality and important future measurements to uncover its origin are also discussed.

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Section: Ceirinmentioning

confidence: 62%

Section: Ceirinmentioning

confidence: 73%

Section: Phase Diagrammentioning

confidence: 99%

Section: Ybrhmentioning

confidence: 99%

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New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Watanabe¹,

Miyake²

2012

J. Phys.: Condens. Matter

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“…The absence of a metamagnetic signature in the magnetization at the field-tuned QCP 18) seems also incompatible with a fielddriven critical valence transition. 24) Alternatively, the quasiparticle mass divergence may hint at a destruction of the Kondo effect. 8) Indeed, a drastic change of the Hall coefficient upon tuning through a line T ?…”

mentioning

confidence: 99%

Separation of Energy Scales in Undoped YbRh₂Si₂Under Hydrostatic Pressure

et al. 2009

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The temperature-magnetic field (T-H) phase diagram of YbRh 2 Si 2 in the vicinity of its quantum critical point is investigated by low-T magnetization measurements. Our analysis reveals that the energy scale T ? ðHÞ, previously related to the Kondo breakdown and terminating at 0.06 T for T ! 0, remains unchanged under pressure, whereas the antiferromagnetic critical field increases from 0.06 T (P ¼ 0) to 0.29 T (P ¼ 1:28 GPa), resulting in a crossing of T N ðHÞ and T ? ðHÞ. Our results are very similar to those on Yb(Rh 1Àx Co x ) 2 Si 2 , proving that the Co-induced disorder can not be the reason for the detachment of both scales under chemical pressure.KEYWORDS: heavy fermion, quantum critical point DOI: 10.1143/JPSJ.78.123708 Heavy fermion (HF) metals, i.e., periodic lattices of certain f-elements, are ideally suited to study the interplay of competing interactions (Kondo-vs RKKY-interaction), which can lead to a continuous phase transition at zerotemperature, driven by pressure, doping or magnetic field. 1)In the approach of the quantum critical point (QCP) the magnetic order parameter fluctuations grow continuously in spatial and temporal dimensions, causing strong deviations from Landau's Fermi liquid (LFL) theory. Such non-Fermi liquid (NFL) states are characterized by a single-excitation energy scale, which vanishes at the QCP.2-4) This results, e.g., in a divergence of the Grüneisen ratio, À / =C, or magnetic Grüneisen parameter À mag / ðÀdM=dTÞ=C, (: volume thermal expansion, C: electronic specific heat, M: magnetization) for QCPs tuned by pressure and magnetic field, respectively. 5) Experiments on the HF metals CeCu) and YbRh 2 Si 2 8-10)are incompatible with the standard picture of an antiferromagnetic (AF) QCP, which describes a spin-densitywave transition. Unconventional quantum criticality, [11][12][13][14] which qualitatively differs from the predictions of the standard theory, may arise due to a destruction of Kondo screening, leading to a decomposition of the heavy quasiparticles into conduction electrons and local magnetic moments.In this letter, we focus on the clean stoichiometric HF metal YbRh 2 Si 2 , located very close to a QCP.15) Because of the very weak AF order below T N ¼ 0:07 K, a tiny variation of an external control parameter is sufficient to tune the system through the QCP. The AF order may be suppressed either by small amounts of Ge-, La-, or Ir-doping 8,16,17) or magnetic fields of H N % 0:06 T and % 0:7 T, applied perpendicular and parallel to the tetragonal c-axis, respectively. 18) At H > H N , heavy LFL behavior is found in the low-T electronic specific heat, magnetic susceptibility and electrical resistivity, with diverging coefficients in the approach of the critical field.19) Correspondingly, a stronger than logarithmic divergence of CðTÞ=T and linear Tdependence of the electrical resistivity has been found in the quantum critical regime.8) These NFL effects, together with the Grüneisen ratio divergences 20,21) could not be described within the itinerant theory for a...

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Electron Distributions and Physicochemical Properties

Bonnelle

Spector

2015

Rare-Earths and Actinides in High Energy Spectroscopy

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Valence Fluctuations Revealed by Magnetic Field and Pressure Scans: Comparison with Experiments in YbXCu₄(X=In, Ag, Cd) and CeYIn₅(Y=Ir, Rh)

Cited by 49 publications

References 91 publications

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Separation of Energy Scales in Undoped YbRh₂Si₂Under Hydrostatic Pressure

Electron Distributions and Physicochemical Properties

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Valence Fluctuations Revealed by Magnetic Field and Pressure Scans: Comparison with Experiments in YbXCu4(X=In, Ag, Cd) and CeYIn5(Y=Ir, Rh)

Cited by 49 publications

References 91 publications

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Separation of Energy Scales in Undoped YbRh2Si2Under Hydrostatic Pressure

Electron Distributions and Physicochemical Properties

Contact Info

Product

Resources

About

Valence Fluctuations Revealed by Magnetic Field and Pressure Scans: Comparison with Experiments in YbXCu₄(X=In, Ag, Cd) and CeYIn₅(Y=Ir, Rh)

Separation of Energy Scales in Undoped YbRh₂Si₂Under Hydrostatic Pressure