Ubiquity of Unconventional Phenomena Associated with Critical Valence Fluctuations in Heavy Fermion Metals

Abstract

Ubiquity of unconventional phenomena observed in a series of heavy fermion metals is discussed on the basis of an idea of critical valence fluctuations. After surveying experimental aspects of these unconventional behaviors in prototypical compounds, CeCu_2(Si,Ge)_2, under pressure, we propose that sharp valence crossover phenomena are realized in CeCu_6, CeRhIn_5, and Ce(Ir,Rh)Si_3 by tuning the pressure and the magnetic field simultaneously, on the basis of previous results for an extended Anderson lattice model with the Coulomb repulsion U_fc between localized f-electron and itinerant conduction electrons.

21 pages, 10 figures, Invited Paper at SCES2016, to appear in Philosophical Magazine

References in corpus (18)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Signatures of valence fluctuations in CeCu2Si2 under high pressure
• Quantum critical state in a magnetic quasicrystal
• Quantum Valence Criticality as Origin of Unconventional Critical Phenomena
• The quantum critical point in CeRhIn_5: a resistivity study
• Roles of Critical Valence Fluctuations in Ce- and Yb-Based Heavy Fermion Metals
• Superconductivity emerging near quantum critical point of valence transition
• Magnetic-Field Control of Quantum Critical Points of Valence Transition
• Valence Fluctuations Revealed by Magnetic Field Scan: Comparison with Experiments in YbXCu_4 (X=In, Ag, Cd) and CeYIn_5 (Y=Ir, Rh)
• Determining the in-plane orientation of the ground-state orbital of CeCu2Si2
• Unconventional Quantum Criticality due to Critical Valence Transition
• Pressure-Driven Quantum Criticality and T/H Scaling in the Icosahedral Au-Al-Yb Approximant
• New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
• T/B Scaling in beta-YbAlB4
• Crystalline-Electric-Field Effect on the Resistivity of Ce-based Heavy Fermion Systems
• Origin of Quantum Criticality in Yb-Al-Au Approximant Crystal and Quasicrystal
• Field evolution of quantum critical and heavy Fermi-liquid components in the magnetization of the mixed valence compound beta-YbAlB4
• Effect of disorder on the pressure-induced superconducting state of CeAu2Si2

Cited by in corpus (7)

• Novel Valence Transition in Elemental Metal Europium around 80 GPa
• Plain $s$-wave superconductivity near the magnetic criticality: Enhancement of attractive electron-boson coupling vertex corrections
• An emerging global picture of heavy fermion physics
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
• On anomalous temperature dependence of relaxation rate measured by \muSR in α-YbAl_{0.986}Fe_{0.014}B_4
• Valence Transition Theory of the Pressure-Induced Dimensionality Crossover in Superconducting Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• 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