Quantum Valence Criticality as Origin of Unconventional Critical Phenomena

Abstract

It is shown that unconventional critical phenomena commonly observed in paramagnetic metals YbRh2Si2, YbRh2(Si0.95Ge0.05)2, and beta-YbAlB4 is naturally explained by the quantum criticality of Yb-valence fluctuations. We construct the mode coupling theory taking account of local correlation effects of f electrons and find that unconventional criticality is caused by the locality of the valence fluctuation mode. We show that measured low-temperature anomalies such as divergence of uniform spin susceptibility $χT^{-ζ)$ with $\zeta 0.6$ giving rise to a huge enhancement of the Wilson ratio and the emergence of T-linear resistivity are explained in a unified way.

arXiv comment5 pages, 3 figures, to be published in Physical Review Letters

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Cited by in corpus (63)

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• Quantum phase transitions in heavy fermion metals and Kondo insulators
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• Robustness of Quantum Criticality of Valence Fluctuations
• Anisotropic heavy Fermi-liquid formation in the valence fluctuating $\alpha$-YbAlB${}_4$
• Pressure-Induced Valence Crossover and Novel Metamagnetic Behavior near the Antiferromagnetic Quantum Phase Transition of YbNi${}_3$Ga${}_9$
• Unconventional Quantum Criticality due to Critical Valence Transition
• Another dimension: investigations of molecular magnetism using muon-spin relaxation
• Valence Change Driven by Constituent Element Substitution in the Mixed-Valence Quasicrystal and Approximant Au-Al-Yb
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• Similar temperature scale for valence changes in Kondo lattices with different Kondo temperatures
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
• Quantum Tricriticality in Antiferromagnetic Ising Model with Transverse Field: A Quantum Monte-Carlo Study
• 153Eu and 69,71Ga Zero-Field NMR Study of Antiferromagnetic State in EuGa4
• T/B Scaling in beta-YbAlB4
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• The Dominant Role of Critical Valence Fluctuations on High $T_{\mathrm{c}}$ Superconductivity in Heavy Fermions
• Origin of Quantum Criticality in Yb-Al-Au Approximant Crystal and Quasicrystal
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Photoemission Evidence for Valence Fluctuations and Kondo Resonance in YbAl2
• An unusual superconducting Isotope Effect in the presence of a Quantum Criticality
• Suppression of f-Electron Itinerancy in CeRu2Si2 by a Strong Magnetic Field
• Electronic states of a disordered 2D quasiperiodic tiling: from critical states to Anderson localization
• Pressure-induced ferromagnetism with strong Ising-type anisotropy in YbCu${}_2$Si${}_2$
• Ubiquity of Unconventional Phenomena Associated with Critical Valence Fluctuations in Heavy Fermion Metals
• Crystalline Electronic Field in Rare-Earth Based Quasicrystal and Approximant: Analysis of Quantum Critical Au-Al-Yb Quasicrystal and Approximant
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• Observation of a Critical Charge Mode in a Strange Metal
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• Charge Transfer Effect under Odd-Parity Crystalline Electric Field: Divergence of Magnetic Toroidal Fluctuation in $\beta$-YbAlB${}_4$
• Effects of Crystalline Electronic Field and Onsite Interorbital Interaction in Yb-based Quasicrystal and Approximant Crystal
• Interplay of Valence and Semimetal-to-Insulator Transitions in SmS
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• Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb${}_2$Ni${}_{12}$P${}_7$
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• Non-Fermi liquid regime in metallic pyrochlore iridates: Quantum Griffiths singularities
• Wide Quantum Critical Region of Valence Fluctuations: Origin of Robust Quantum Criticality in Quasicrystal Yb15Al34Au51 under Pressure
• On anomalous temperature dependence of relaxation rate measured by \muSR in α-YbAl_{0.986}Fe_{0.014}B_4
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Two qualitatively different superconducting phases under high pressure in single-crystalline CeNiGe${}_3$
• Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb${}_{15}$Al${}_{34}$Au${}_{51}$: Reflection of Robustness of Quantum Criticality under Pressure
• New Quantum Criticality Revealed under Pressure
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• Ultrasound Response in Quantum Critical $\beta$-YbAlB${}_4$ and $\alpha$-YbAl${}_{0.986}$Fe${}_{0.014}$B${}_4$
• Elastic Softening in Quantum Critical Yb-Al-Au Approximant Crystal and Quasicrystal
• Theory for Non-Fermi Liquid Temperature Dependence in Resistivity of Ce_xLa_{1-x} Cu_{5.62} Au_{0.38} (x=0.02-0.10) on the Local Quantum Valence Criticality of Ce Impurities
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• Basic Properties of Conductivity and Normal Hall Effect in the Periodic Anderson Model
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