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.

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

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Cited by in corpus (55)

• 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${}_5$
• 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
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• 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
• Dynamical scaling of charge and spin responses at a Kondo destruction quantum critical point
• The anomalous antiferromagnetic topological phase in pressurized SmB6
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Multiple superconducting phases in heavy-fermion metals
• 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
• Antiferromagnetic phase of the Kondo-insulator
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Direct Evidence for the Existence of Heavy Quasiparticles in the Magnetically Ordered Phase of CeRhIn${}_5$
• Antiferromagnetic Phases of the Kondo Lattice
• Global Phase Diagram and Momentum Distribution of Single-Particle Excitations in Kondo insulators
• Zero-Field Ambient-Pressure Quantum Criticality in the Stoichiometric Non-Fermi Liquid System CeRhBi
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• Interwoven atypical quantum states in CeLiBi${}_2$
• 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
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Quasiparticle interference of heavy fermions in resonant X-ray scattering
• Dynamic mass generation and topological order in overscreened Kondo lattices
• ${\mathcal{Z}}_2$ 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
• Fractionalized Fermi liquids and the cuprate phase diagram
• Quantitative investigation of the 4$f$ occupation in the quasikagome Kondo lattice CeRh${}_{1-x}$Pd${}_x$Sn
• Fermi surface enlargement on the Kondo lattice
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem
• 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
• Quasi-two-dimensional Fermi surfaces with localized $f$ electrons in the layered heavy-fermion compound CePt${}_2$In${}_7$
• 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