Topological Semimetal driven by Strong Correlations and Crystalline Symmetry

Abstract

Electron correlations amplify quantum fluctuations and, as such, they have been recognized as the origin of a rich landscape of quantum phases. Whether and how they lead to gapless topological states is an outstanding question, and a framework that allows for determining novel phases and identifying new materials is in pressing need. Here we advance a general approach, in which strong correlations cooperate with crystalline symmetry to drive gapless topological states. We test this materials design principle by exploring Kondo lattice models and materials whose space group symmetries may promote different kinds of electronic degeneracies, with a particular focus on square-net systems. Weyl-Kondo nodal-line semimetals -- with nodes pinned to the Fermi energy -- are identified. We describe how this approach can be applied to discover strongly correlated topological semimetals, identify three heavy fermion compounds as new candidates, provide first direct experimental evidence for our prediction in Ce${}_2$Au${}_3$In${}_5$, and discuss how our approach may lead to many more. Our findings illustrate the potential of the proposed materials design principle to guide the search for new topological metals in a broad range of strongly correlated systems.

arXiv commentTo appear in Nature Physics; submitted version of the manuscript (the accepted version will appear in the journal); 35 pages, 4 figures main text + 8 figures supplementary information

References in corpus (46)

• The electronic properties of graphene
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological quantum chemistry
• The (High Quality) Topological Materials In The World
• Catalogue of Topological Electronic Materials
• Topological Kondo Insulators
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Dirac Semimetals in Two Dimensions
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Topological semi-metals with line nodes and drumhead surface states
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Quantum phases driven by strong correlations
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Weyl-Kondo Semimetal in Heavy Fermion Systems
• Tunable Weyl and Dirac states in the nonsymmorphic compound $\mathbf{CeSbTe}$
• Heavy-electron quantum criticality and single-particle spectroscopy
• Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• Band Representations and Topological Quantum Chemistry
• Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-line Semimetals
• Fractionalized Topological Insulators
• Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
• Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
• Weyl Mott Insulator
• Non-Thermal Emergence of an Orbital-Selective Mott Phase in FeTe${}_{1-x}$Se${}_x$
• Correlation-Driven Electronic Reconstruction in FeTe${}_{1-x}$Se${}_x$
• A systematic study of stacked square nets: from Dirac fermions to material realizations
• Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI family
• Orbital-selective Mott phase in multiorbital models for iron pnictides and chalcogenides
• Quantum Oscillations in Nodal Line Systems
• Weyl-Kondo semimetals in nonsymmorphic systems
• Quantum oscillations probe the Fermi surface topology of the nodal-line semimetal CaAgAs
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Switchable Weyl nodes in topological Kagome ferromagnet Fe3Sn2
• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Glide reflection symmetry, Brillouin zone folding and superconducting pairing for the $P4/nmm$ space group
• Why rare-earth ferromagnets are so rare: insights from the p-wave Kondo model
• Drumhead surface states and their signatures in quasiparticle scattering interference
• Quasiparticle interference observation of the topologically non-trivial drumhead surface state in ZrSiTe
• Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
• Kondo lattice heavy fermion behavior in CeRh2Ga2

Cited by in corpus (27)

• Flat bands, strange metals, and the Kondo effect
• A flat band-induced correlated kagome metal
• Kondo lattice model in magic-angle twisted bilayer graphene
• Breakdown of the scaling relation of anomalous Hall effect in Kondo lattice ferromagnet USbTe
• Emergent flat band and topological Kondo semimetal driven by orbital-selective correlations
• Electronic properties, correlated topology and Green's function zeros
• Reversible Non-Volatile Electronic Switching in a Near Room Temperature van der Waals Ferromagnet
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• Hidden orders in spin-orbit entangled correlated insulators
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• How to identify and characterize strongly correlated topological semimetals
• Node-line Dirac semimetal manipulated by Kondo mechanism in nonsymmorphic CePt${}_2$Si${}_2$
• Emergent Topological Semimetal
• A topological Hund nodal line antiferromagnet
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Multi-Dirac and Weyl physics in heavy-fermion systems
• Nodal-line semimetals and their variance
• Cubic Dirac Semimetals: General Theory and Application to Rare-Earth Magnets
• Tunable Giant Anomalous Hall in a Kondo Lattice Ferromagnet UBiTe
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Axionic quantum criticality of generalized Weyl semimetals
• Anisotropic marginal Fermi liquid for Coulomb interacting generalized Weyl fermions
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Anomalous Hall effect and quantum criticality in geometrically frustrated heavy fermion metals
• Excess heat capacity in magnetically ordered Ce heavy fermion metals