Emergent Charge Fluctuations at the Kondo Breakdown of Heavy Fermions

Abstract

One of the challenges in strongly correlated electron systems, is to understand the anomalous electronic behavior that develops at an antiferromagnetic quantum critical point (QCP), a phenomenon that has been extensively studied in heavy fermion materials. Current theories have focused on the critical spin fluctuations and associated break-down of the Kondo effect. Here we argue that the abrupt change in Fermi surface volume that accompanies heavy fermion criticality leads to critical charge fluctuations. Using a model one dimensional Kondo lattice in which each moment is connected to a separate conduction bath, we show a Kondo breakdown transition develops between a heavy Fermi liquid and a gapped spin liquid via a QCP with ω/T scaling, which features a critical charge mode directly associated with the break-up of Kondo singlets. We discuss the possible implications of this emergent charge mode for experiment.

References in corpus (39)

• Comments on the Sachdev-Ye-Kitaev model
• Entanglement spectrum of a topological phase in one dimension
• Locally critical quantum phase transitions in strongly correlated metals
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hall-effect evolution across a heavy-fermion quantum critical point
• Fractionalized Fermi liquids
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Non-Fermi liquid regime of a doped Mott insulator
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Visualizing heavy fermions emerging in a quantum critical Kondo lattice
• Frustration and the Kondo effect in heavy fermion materials
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Non-perturbative approach to Luttinger's theorem in one dimension
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Direct observation of how the heavy fermion state develops in CeCoIn5
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N
• T=0 heavy fermion quantum critical point as an orbital selective Mott transition
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• Symplectic N and time reversal in frustrated magnetism
• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Sum Rules and Ward Identities in the Kondo Lattice
• Robustness of Quantum Criticality of Valence Fluctuations
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• Schwinger Boson approach to the fully screened Kondo model
• Unconventional Quantum Criticality due to Critical Valence Transition
• Kondo destruction and valence fluctuations in an Anderson model
• Kondo Destruction in RKKY-Coupled Kondo Lattice and Multi-Impurity Systems
• T/B Scaling in beta-YbAlB4
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• The Dominant Role of Critical Valence Fluctuations on High $T_{\mathrm{c}}$ Superconductivity in Heavy Fermions
• Critical charge fluctuations in a pseudogap Anderson model
• Coincidence of magnetic and valence quantum critical points in CeRhIn5 under pressure
• Wide Quantum Critical Region of Valence Fluctuations: Origin of Robust Quantum Criticality in Quasicrystal Yb15Al34Au51 under Pressure
• Easy-axis ferromagnetic chain on a metallic surface
• Quantum criticality and the break-up of the Kondo pseudo-potential
• Majorana approach to the stochastic theory of lineshapes

Cited by in corpus (35)

• Quantum phases driven by strong correlations
• Strange metal behavior in a pure ferromagnetic Kondo lattice
• Heavy-electron quantum criticality and single-particle spectroscopy
• Nonlocal Kondo effect and quantum critical phase in heavy fermion metals
• Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
• Quantum phase transition in a two-dimensional Kondo-Heisenberg model: a Schwinger-boson large-N approach
• Large-N Approach to the Two-Channel Kondo Lattice
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• Dynamical scaling of charge and spin responses at a Kondo destruction quantum critical point
• Emergent moments in a Hund's impurity
• Quantum critical metals and loss of quasiparticles
• Terahertz Conductivity of Heavy-fermion Systems from Time-resolved Spectroscopy
• ${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Localized-to-itinerant transition preceding antiferromagnetic quantum critical point and gapless superconductivity in CeRh${}_{0.5}$Ir${}_{0.5}$In${}_5$
• Observation of a Critical Charge Mode in a Strange Metal
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Spin current Kondo effect in frustrated Kondo systems
• Schwinger boson approach for the dynamical mean-field theory of the Kondo lattice
• Is the optical conductivity of heavy fermion strange metals Planckian?
• Effect of superconductivity on the shape of flat bands
• Interplay of charge and spin fluctuations in a Hund's coupled impurity
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• An emerging global picture of heavy fermion physics
• Evidence for charge delocalization crossover in the quantum critical superconductor CeRhIn${}_5$
• Universal $T/B$ scaling behavior of heavy fermion compounds
• The Future of the Correlated Electron Problem
• Inexorable Edge Kondo Breakdown in Topological Kondo Insulators
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Towards Entanglement Entropy of Random Large-N Theories
• Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene