Kondo destruction and valence fluctuations in an Anderson model

Abstract

Unconventional quantum criticality in heavy-fermion systems has been extensively analyzed in terms of a critical destruction of the Kondo effect. Motivated by a recent demonstration of quantum criticality in a mixed-valent heavy-fermion system, β-YbAlB4, we study a particle-hole-asymmetric Anderson impurity model with a pseudogapped density of states. We demonstrate Kondo destruction at a mixed-valent quantum critical point, where a collapsing Kondo energy scale is accompanied by a singular charge-fluctuation spectrum. Both spin and charge responses scale with energy over temperature (ω/T) and magnetic field over temperature (H/T). Implications for unconventional quantum criticality in mixed-valence heavy fermions are discussed.

5 pages, 5 figures, discussion on the implications for quantum criticality of the beta-YbAlB4 system is expanded; to appear in PRL

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Cited by in corpus (28)

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• Quantum phase transitions in heavy fermion metals and Kondo insulators
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• Common non-Fermi liquid phases in quantum impurity physics
• Quantum phase transition in a two-dimensional Kondo-Heisenberg model: a Schwinger-boson large-N approach
• Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
• Long-range entanglement near a Kondo-destruction quantum critical point
• Two-channel point-contact tunneling theory of superconductors
• Pairing Correlations Near a Kondo-Destruction Quantum Critical Point
• Kondo hybridization and quantum criticality in $\beta$-YbAlB${}_4$ by laser-ARPES
• Dynamical scaling of charge and spin responses at a Kondo destruction quantum critical point
• Critical charge fluctuations in a pseudogap Anderson model
• Quantum critical spin-liquid-like behavior in S = 1/2 quasikagome lattice CeRh1-xPdxSn investigated using muon spin relaxation and neutron scattering
• Quantum critical metals and loss of quasiparticles
• Observation of a Critical Charge Mode in a Strange Metal
• Field evolution of quantum critical and heavy Fermi-liquid components in the magnetization of the mixed valence compound beta-YbAlB4
• Phase boundaries of the pseudogap Anderson and Kondo models
• Critical quasiparticles in single-impurity and lattice Kondo models
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Zero-Field Ambient-Pressure Quantum Criticality in the Stoichiometric Non-Fermi Liquid System CeRhBi
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• Emergent soft-gap Anderson models at quantum criticality in a lattice Hamiltonian within dynamical mean field theory
• Phase diagram of a pseudogap Anderson model with application to graphene