Unconventional Quantum Criticality due to Critical Valence Transition

Abstract

Quantum criticality due to the valence transition in some Yb-based heavy fermion metals has gradually turned out to play a crucial role to understand the non-Fermi liquid properties that cannot be understood from the conventional quantum criticality theory due to magnetic transitions. Namely, critical exponents giving the temperature (T) dependence of the resistivity ρ(T), the Sommerfeld coefficient, C(T)/T, the magnetic susceptibility, χ(T), and the NMR relaxation rates, 1/(T_{1}T), can be understood as the effect of the critical valence fluctuations of f electrons in Yb ion in a unified way. There also exist a series of Ce-based heavy fermion metals that exhibit anomalies in physical quantities, enhancements of the residual resistivity ρ_{0} and the superconducting critical temperature (T_c) around the pressure where the valence of Ce sharply changes. Here we review the present status of these problems both from experimental and theoretical aspects.

arXiv commentPublished in "Special Topics: Advances in Physics of Strongly Correlated Electron Systems" of J. Phys. Soc. Jpn. based on an invited talk at SCES2013. Free access for one month from now through the link of J. Phys. Soc. Jpn.; http://journals.jps.jp/journal/jpsj

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• Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions
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• Intact Quasiparticles at an Unconventional Quantum Critical Point
• Thermal Expansion of the Heavy-fermion Superconductor PuCoGa${}_5$
• Microscopic Observation of Heavy Quasiparticle Formation in the Intermediate Valence Compound EuNi${}_2$P${}_2$: ${}^{31}$P NMR Study
• Extended Nuclear Quadrupole Resonance Study of the Heavy-Fermion Superconductor PuCoGa${}_5$
• Surface valence transition in SmS by alkali metal adsorption
• Quantum Criticality and Inhomogeneous Magnetic Order in Fe-doped alpha-YbAlB4
• DMFT Study for Valence Fluctuations in the Extended Periodic Anderson Model
• New Quantum Criticality Revealed under Pressure
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Pressure dependence of Ce valence in CeRhIn5
• 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
• Basic Properties of Conductivity and Normal Hall Effect in the Periodic Anderson Model