Kondo Destruction and Quantum Criticality in Kondo Lattice Systems

Abstract

Considerable efforts have been made in recent years to theoretically understand quantum phase transitions in Kondo lattice systems. A particular focus is on Kondo destruction, which leads to quantum criticality that goes beyond the Landau framework of order-parameter fluctuations. This unconventional quantum criticality has provided an understanding of the unusual dynamical scaling observed experimentally. It has also predicted a sudden jump of the Fermi surface and an extra (Kondo destruction) energy scale, both of which have been verified by systematic experiments. Considerations of Kondo destruction have in addition yielded a global phase diagram, which has motivated the current interest in heavy fermion materials with variable dimensionality or geometrical frustration. Here we summarize these developments, and discuss some of the ongoing work and open issues. We also consider the implications of these results for superconductivity. Finaly, we address the effect of spin-orbit coupling on the global phase diagram, suggest that SmB6 under pressure may display unconventional superconductivity in the transition regime between a Kondo insulator phase and an antiferroamgnetic metal phase, and argue that the interfaces of heavy-fermion heterostructures will provide a fertile setting to explore topological properties of both Kondo insulators and heavy-fermion superconductors.

arXiv comment(v2) 27 pages, 11 figures; formatting issues resolved; (v1) 10 pages, 11 figures, invited paper at SCES2013

References in corpus (57)

• Renormalization Group Approach to Interacting Fermions
• Tunable Rashba spin-orbit interaction at oxide interfaces
• Locally critical quantum phase transitions in strongly correlated metals
• Topological Kondo Insulators
• Onset of antiferromagnetism in heavy fermion metals
• Heavy Fermions and Quantum Phase Transitions
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Hall-effect evolution across a heavy-fermion quantum critical point
• Tuning spin-orbit coupling and superconductivity at the SrTiO3/LaAlO3 interface: a magneto-transport study
• Spin resonance in the d-wave superconductor CeCoIn5
• Imaging the Fano Lattice to 'Hidden Order' Transition in URu2Si2
• Magnetically driven superconductivity in CeCu2Si2
• Visualizing heavy fermions emerging in a quantum critical Kondo lattice
• Multiple energy scales at a quantum critical point
• Frustration and the Kondo effect in heavy fermion materials
• Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
• Coherence scale of the Kondo lattice
• Spatial Correlations in Dynamical Mean Field Theory
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Global Magnetic Phase Diagram and Local Quantum Criticality in Heavy Fermion Metals
• Destruction of Kondo effect in cubic heavy fermion compound Ce3Pd20Si6
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Local fluctuations in quantum critical metals
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Critical local moment fluctuations in the Bose-Fermi Kondo model
• The quantum critical point in CeRhIn_5: a resistivity study
• Evidence for a Non-Fermi-Liquid Phase in Ge-Substituted YbRh2Si2
• Fermi Surface Reconstruction without Breakdown of Kondo Screening at Quantum Critical Point
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Spin Liquids and Antiferromagnetic Order in the Shastry-Sutherland-Lattice Yb${}_2$Pt${}_2$Pb
• Magnetic field tuned quantum criticality of heavy fermion system YbPtBi
• T=0 heavy fermion quantum critical point as an orbital selective Mott transition
• Quasiparticles beyond the Fermi liquid and heavy fermion criticality
• Locally critical point in an anisotropic Kondo lattice
• Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model
• Continuous quantum phase transition in a Kondo lattice model
• Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
• Itinerant vs Localized Heavy-Electron Magnetism
• Numerical renormalization-group study of the Bose-Fermi Kondo model
• Superconductivity in Ce- and U-based "122" heavy-fermion compounds
• Evolution of the Fermi Surface across a Magnetic Order-Disorder Transition in the Two-Dimensional Kondo Lattice Model: A Dynamical Cluster Approach
• Extended Dynamical Mean Field Theory Study of the Periodic Anderson Model
• Quantum Critical Behavior in Kondo Systems
• Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 Dimensions
• Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model
• Competing topological and Kondo insulator phases on a honeycomb lattice
• Magnetic quantum phase transition in an anisotropic Kondo lattice
• Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators
• Renormalization Group for Mixed Fermion-Boson Systems
• Magnetic Quantum Phase Transitions in Kondo Lattices
• Nonlinear Sigma Model Analysis of the AFM Phase Transition of the Kondo Lattice
• Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition
• Field-induced long-range magnetic order in the spin-singlet ground state system YbAl3C3: Neutron diffraction study
• Effects of Berry phase and instantons in one dimensional Kondo-Heisenberg model

Cited by in corpus (56)

• Heavy-electron quantum criticality and single-particle spectroscopy
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Band dependent inter-layer $f$-electron hybridization in CeRhIn${}_5$
• Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multi-Scale Methods
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Orbital-selective Mott phase in multiorbital models for iron pnictides and chalcogenides
• Evolution of the Kondo lattice and non-Fermi liquid excitations in a heavy-fermion metal
• The magnitude of the magnetic exchange interaction in the heavy fermion antiferromagnet CeRhIn${}_5$
• Tracing crystal-field splittings in the rare earth-based intermetallic CeIrIn${}_5$
• Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model
• Controlled bond expansion for DMRG ground state search at single-site costs
• Triangular Kondo lattice in $\mathrm{Yb}{\mathrm{V}}_6\mathrm{S}{\mathrm{n}}_6$ and its quantum critical behaviors in magnetic field
• Toward a New Microscopic Framework for Kondo Lattice Materials
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Evolution of hyperfine parameters across a quantum critical point in CeRhIn${}_5$
• Quasi-two-dimensional Fermi surfaces of the heavy-fermion superconductor Ce${}_2$PdIn${}_8$
• Kondo Destruction in Heavy Fermion Quantum Criticality and the Photoemission Spectrum of YbRh${}_2$Si${}_2$
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• Two-channel point-contact tunneling theory of superconductors
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• The anomalous antiferromagnetic topological phase in pressurized SmB6
• Multiple superconducting phases in heavy-fermion metals
• Dynamical scaling of charge and spin responses at a Kondo destruction quantum critical point
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• Mutual information in heavy-fermion systems
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Antiferromagnetic phase of the Kondo-insulator
• Global Phase Diagram and Momentum Distribution of Single-Particle Excitations in Kondo insulators
• Antiferromagnetic Phases of the Kondo Lattice
• Direct Evidence for the Existence of Heavy Quasiparticles in the Magnetically Ordered Phase of CeRhIn${}_5$
• Interwoven atypical quantum states in CeLiBi${}_2$
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Zero-Field Ambient-Pressure Quantum Criticality in the Stoichiometric Non-Fermi Liquid System CeRhBi
• Filling-enforced Kondo semimetals in two-dimensional non-symmorphic crystals
• Nearly-degenerate $p_x+i{p}_y$ and $d_{x^2-y^2}$ pairing symmetry in the heavy fermion superconductor YbRh${}_2$Si${}_2$
• Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
• Magnetic Kondo regimes in a frustrated half-filled trimer
• Dynamic mass generation and topological order in overscreened Kondo lattices
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Quasiparticle interference of heavy fermions in resonant X-ray scattering
• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Fermi surface enlargement on the Kondo lattice
• Quantitative investigation of the 4$f$ occupation in the quasikagome Kondo lattice CeRh${}_{1-x}$Pd${}_x$Sn
• Fractionalized Fermi liquids and the cuprate phase diagram
• Quasi-two-dimensional Fermi surfaces with localized $f$ electrons in the layered heavy-fermion compound CePt${}_2$In${}_7$
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model
• Non-linear quantum critical dynamics and fluctuation-dissipation ratios far from equilibrium
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• Topological ground state degeneracy of the two-channel Kondo lattice
• Ultraviolet/infrared mixing-driven suppression of Kondo screening in the antiferromagnetic quantum critical metal
• Antiferromagnetism and Stripe Channel Order in the $\mathrm{SU}(N)$-Symmetric Two-Channel Kondo Lattice Model
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces