Weyl-Kondo Semimetal in Heavy Fermion Systems

Abstract

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, topological metals have not been experimentally evidenced until recently. In systems with strong correlations, they have yet to be identified. Heavy fermion semimetals are a prototype of strongly correlated systems and, given their strong spin-orbit coupling, present a natural setting to make progress. Here we advance a Weyl-Kondo semimetal phase in a periodic Anderson model on a noncentrosymmetric lattice. The quasiparticles near the Weyl nodes develop out of the Kondo effect, as do the surface states that feature Fermi arcs. We determine the key signatures of this phase, which are realized in the heavy fermion semimetal Ce${}_3$Bi${}_4$Pd${}_3$. Our findings provide the much-needed theoretical foundation for the experimental search of topological metals with strong correlations, and open up a new avenue for systematic studies of such quantum phases that naturally entangle multiple degrees of freedom.

Final version, PNAS, Early Edition published online on Dec 18, 2017. 5 pages in PNAS format + 4 figures + supplementary information

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Cited by in corpus (101)

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• Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
• Evidence for Weyl fermions in a canonical heavy-fermion semimetal YbPtBi
• Thermoelectricity in correlated narrow-gap semiconductors
• Kondo lattice model in magic-angle twisted bilayer graphene
• Kondo physics in antiferromagnetic Weyl semimetal Mn3+xSn1-x films
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Symmetric Kondo Lattice States in Doped Strained Twisted Bilayer Graphene
• Weyl-Kondo semimetals in nonsymmorphic systems
• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
• Breakdown of the scaling relation of anomalous Hall effect in Kondo lattice ferromagnet USbTe
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• From Trivial Kondo Insulator Ce${}_3$Pt${}_3$Bi${}_4$ to Topological Nodal-line Semimetal Ce${}_3$Pd${}_3$Bi${}_4$
• Protracted Kondo screening and kagome bands in heavy-fermion metal Ce${}_3$Al
• Emergent flat band and topological Kondo semimetal driven by orbital-selective correlations
• Emergence of flat bands and ferromagnetic fluctuations via orbital-selective electron correlations in Mn-based kagome metal
• Electronic properties, correlated topology and Green's function zeros
• Critical role of electronic correlations in determining crystal structure of transition metal compounds
• Experimental and theoretical study of the correlated compound YbCdSn: Evidence for large magnetoresistance and mass enhancement
• Parity-violating hybridization in heavy Weyl semimetals
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Oxygen vacancy-driven orbital multichannel Kondo effect in Dirac nodal line metals IrO2 and RuO2
• Unconventional free charge in the correlated semimetal Nd2Ir2O7
• Observation of Flat Bands and Dirac Cones in a Pyrochlore Lattice Superconductor
• Unraveling the 4f electronic structures of cerium monopnictides
• Determining the local low-energy excitations in the Kondo semimetal CeRu${}_4$Sn${}_6$ using resonant inelastic x-ray scattering
• Controlling electronic topology in a strongly correlated electron system
• Magnetic, thermodynamic, and magnetotransport properties of CeGaGe and PrGaGe single crystals
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Non-Local Annihilation of Weyl Fermions in Correlated Systems
• Pristine quantum criticality in a Kondo semimetal
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Kondo effect driven by chirality imbalance
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Effects of strong correlations on the nonlinear response in Weyl-Kondo semimetals
• Correlation Driven Topological Insulator-to-Weyl Semimetal Transition in Actinide System UNiSn
• Large Tunable Anomalous Hall Effect in the Kagom$\acute{e}$ Antiferromagnet U${}_3$Ru${}_4$Al${}_{12}$
• Pressure-Driven Valence Increase and Metallization in Kondo Insulator Ce${}_3$Bi${}_4$Pt${}_3$
• Kondo effect with Wilson fermions
• Renormalized quasiparticles, topological monopoles and superconducting line nodes in heavy fermion CeTX${}_3$ compounds
• A microscopic Kondo lattice model for the heavy fermion antiferromagnet CeIn${}_3$
• Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Spin-polarized imaging of strongly interacting fermions in the ferrimagnetic state of Weyl candidate CeBi
• Spin-lattice relaxation phenomena in the magnetic state of a suggested Weyl semimetal CeAlGe
• Ground state of Ce${}_3$Bi${}_4$Pd${}_3$ unraveled by hydrostatic pressure
• Localized f-electron magnetism in the semimetal Ce3Bi4Au3
• Exceeding the Chandrasekhar-Clogston limit in flat-band superconductors: A multiband strong-coupling approach
• Extremely large magnetoresistance and compensated Fermi surfaces in the antiferromagnetic semimetal YbAs
• Itinerant to relocalized transition of f electrons in the Kondo insulator CeRu4Sn6
• Weyl-Kondo Semimetal: Towards Control of Weyl Nodes
• How to identify and characterize strongly correlated topological semimetals
• Degenerate solutions to the massless Dirac and Weyl equations and a proposed method for controlling the quantum state of Weyl particles
• Bilayer Haldane model: From trivial band insulator to fractionalized quantum anomalous Hall insulator
• Node-line Dirac semimetal manipulated by Kondo mechanism in nonsymmorphic CePt${}_2$Si${}_2$
• Interplay between strong correlations and electronic topology in the underlying kagome lattice of Na2/3CoO2
• Non-Abelian bosonization in a (3+1)-d Kondo semimetal via quantum anomalies
• Ferromagnetic quantum critical point in a locally noncentrosymmetric and nonsymmorphic Kondo metal
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Pressure-induced concomitant topological and metal-insulator quantum phase transitions in Ce${}_3$Pd${}_3$Bi${}_4$
• On the remarkable properties of Weyl particles
• Floquet engineering multi-channel Kondo physics
• Dirac Kondo effect under magnetic catalysis
• Emergent Topological Semimetal
• Slow crystalline electric field fluctuations in the Kondo lattice SmB${}_6$
• The Future of the Correlated Electron Problem
• Selective Kondo strong coupling in magnetic impurity flat-band lattices
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Colossal anomalous Nernst effect in a correlated noncentrosymmetric kagome ferromagnet
• Strongly Entangled Kondo and Kagome Lattices and the Emergent Magnetic Ground State in Heavy-Fermion Kagome Metal YbV${}_6$Sn${}_6$
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Enhancement of Spin-charge Conversion in Dilute Magnetic Alloys by Kondo Screening
• Global phase diagram of a spin-orbit-coupled Kondo lattice model on the honeycomb lattice
• Emergent Weyl Fermions in an Orbital Multipolar Ordering Phase
• Temperature dependence of quantum oscillations from non-parabolic dispersions
• A general method for obtaining degenerate solutions to the Dirac and Weyl equations and a discussion on the experimental detection of degenerate states
• Connecting the avoided quantum critical point to the magic-angle transition in three-dimensional Weyl semimetals
• Multi-Dirac and Weyl physics in heavy-fermion systems
• Tunable Giant Anomalous Hall in a Kondo Lattice Ferromagnet UBiTe
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Weyl nodes and Kondo interaction in noncentrosymmetric semimetals RGaGe (R=La, Ce and Pr) with long Fermi arcs
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Anisotropic Physical Properties of the Kondo Semimetal CeCu${}_{1.11}$As${}_2$
• Axionic quantum criticality of generalized Weyl semimetals
• Decoding the drive-bath interplay: A guideline to enhance superconductivity
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Ce${}_3$Bi${}_4$Ni${}_3$ $-$ A large hybridization-gap variant of Ce${}_3$Bi${}_4$Pt${}_3$
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase
• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal
• Excess heat capacity in magnetically ordered Ce heavy fermion metals
• Flat Topological Nodal Lines in Heavy-Fermion Compound CeCoGe${}_3$
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• Retrieval of free-Majorana wavefunctions for the finite Kitaev chain using an appropriate momentum representation
• Correlated Dirac semimetal states in nonsymmorphic MIrO${}_3$ (M=Sr, Ba and Ca)
• Localized degenerate solutions to the massless Dirac and Weyl equations
• CeFe${}_2$Al${}_{10}$: a Correlated Metal with a Fermi Surface Exhibiting Nonmetallic Conduction