Theoretical prediction of a strongly correlated Dirac metal

Abstract

Recently, the most intensely studied objects in the electronic theory of solids have been strongly correlated systems and graphene. However, the fact that the Dirac bands in graphene are made up of $s{p}^2$-electrons, which are subject to neither strong Hubbard repulsion $U$ nor strong Hund's rule coupling $J$ creates certain limitations in terms of novel, interaction-induced physics that could be derived from Dirac points. Here we propose GaCu${}_3$(OH)${}_6$Cl${}_2$ (Ga-substituted herbertsmithite) as a correlated Dirac-Kagome metal combining Dirac electrons, strong interactions and frustrated magnetism. Using density functional theory (DFT), we calculate its crystallographic and electronic properties, and observe that it has symmetry-protected Dirac points at the Fermi level. Its many-body physics is excitingly rich, with possible charge, magnetic and superconducting instabilities. Through a combination of various many-body methods we study possible symmetry-lowering phase transitions such as Mott-Hubbard, charge or magnetic ordering, and unconventional superconductivity, which in this compound assumes an $f$-wave symmetry.

References in corpus (21)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Gap symmetry and structure of Fe-based superconductors
• Functional renormalization group approach to correlated fermion systems
• Continuous Time Quantum Monte Carlo method for fermions
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Competing electronic orders on Kagome lattices at van Hove filling
• Competing many-body instabilities and unconventional superconductivity in graphene
• Sublattice Interference in the Kagome Hubbard Model
• Multi-band Gutzwiller wave functions for general on-site interactions
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Tight-binding models for the new iron based superconductor materials
• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Lattice dependence of saturated ferromagnetism in the Hubbard model
• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• Superconductivity of disordered Dirac fermions
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Coulomb correlations in the honeycomb lattice: role of translation symmetry

Cited by in corpus (139)

• Quantum Spin Liquids
• Massive Dirac fermions in a ferromagnetic kagome metal
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Topological kagome magnets and superconductors
• Topological flat bands in frustrated kagome lattice CoSn
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Three-dimensional charge density wave and robust zero-bias conductance peak inside the superconducting vortex core of a kagome superconductor CsV${}_3$Sb${}_5$
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
• Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal
• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5
• Twofold symmetry of $c$-axis resistivity in topological kagome superconductor CsV${}_3$Sb${}_5$ with in-plane rotating magnetic field
• Towards high-throughput superconductor discovery via machine learning
• The Chemistry of Quantum Spin Liquids
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Nodeless superconductivity in the kagome metal CsV${}_3$Sb${}_5$
• Origin of the Charge Density Wave in the Kagome Metal CsV${}_3$Sb${}_5$ as Revealed by Optical Spectroscopy
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$
• Flat bands, strange metals, and the Kondo effect
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Controllable thickness inhomogeneity and Berry-curvature-engineering of anomalous Hall effect in SrRuO3 ultrathin films
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Large topological Hall effect in a geometrically frustrated kagome magnet Fe${}_3$Sn${}_2$
• Creating Weyl nodes and controlling their energy by magnetization rotation
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Double-dome superconductivity under pressure in the V-based Kagome metals AV3Sb5 (A = Rb and K)
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Probing and controlling spin chirality in Mott insulators by circularly polarized laser
• Softening of a flat phonon mode in the kagome ScV${}_6$Sn${}_6$
• Materials Design for New Superconductors
• Localized spin-orbit polaron in magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Anomalous Hall effect in ferrimagnetic metal RMn6Sn6 (R = Tb, Dy, Ho) with clean Mn kagome lattice
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Anisotropically large anomalous and topological Hall effect in a kagome magnet
• Flat band separation and robust spin-Berry curvature in bilayer kagome metals
• Spectroscopic evidence of flat bands in breathing kagome semiconductor Nb3I8
• Spin excitations in metallic kagome lattice FeSn and CoSn
• Order-disorder Peierls instability in the kagome metal (Cs,Rb)V${}_3$Sb${}_5$
• Strong magnetic frustration in Y${}_3$Cu${}_9$(OH)${}_{19}$Cl${}_8$: a distorted kagome antiferromagnet
• A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Dirac points emerging from flat bands in Lieb-kagomé lattices
• Barlowite as a canted antiferromagnet: theory and experiment
• Superconductivity from repulsive interactions on the kagome lattice
• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective
• Topological exact flat bands in two dimensional materials under periodic strain
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators
• Reduction of magnetic interlayer coupling in barlowite through isoelectronic substitution
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• GdV6Sn6: a Multi-carrier Metal with Non-magnetic 3d-electron Kagome Bands and 4f-electron Magnetism
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Evolution of electronic structure in pristine and hole-doped kagome metal RbV${}_3$Sb${}_5$
• Nanoscale visualization and spectral fingerprints of the charge order in ScV6Sn6 distinct from other kagome metals
• Turbulent hydrodynamics in strongly correlated Kagome metals
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Molecular Beam Epitaxy Growth of Antiferromagnetic Kagome Metal FeSn
• Electron doping of proposed quantum spin liquid kagomé Zn-Cu hydroxyl-halides produces localized states in the band gap
• Averievite: a copper oxide kagome antiferromagnet
• Robust Kagome Electronic Structure in Topological Quantum Magnets XMn6Sn6 (X = Dy, Tb, Gd, Y)
• Ferromagnetic helical nodal line and Kane-Mele spin-orbit coupling in kagome metal Fe3Sn2
• Correlation-induced magnetism in substrate-supported 2D metal-organic frameworks
• Dynamics and Resilience of the Charge Density Wave in a bilayer kagome metal
• Superconductivity in kagome metal YRu3Si2 with strong electron correlations
• Magnetic-field control of topological electronic response near room temperature in correlated Kagome magnets
• Competing itinerant and local spin interactions in kagome metal FeGe
• Discovery and construction of surface kagome electronic states induced by p-d electronic hybridization
• Manipulation of Dirac band curvature and momentum-dependent g-factor in a kagome magnet YMn6Sn6
• From basic properties to the Mott design of correlated delafossites
• Origin of spin reorientation and intrinsic anomalous Hall effect in the kagome ferrimagnet TbMn6Sn6
• Unusual magnetic and transport properties in HoMn${}_6$Sn${}_6$ kagome magnet
• Kagome quantum spin systems in the atacamite family
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Superconductivity modulated by structural phase transitions in pressurized vanadium-based kagome metals
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Observation of flat and weakly dispersing bands in a van der Waals semiconductor Nb3Br8 with breathing kagome lattice
• Topological Hall effect induced by chiral fluctuations in ErMn6Sn6
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Kagome Flatbands for Coherent Exciton-Polariton Lasing
• Spin-polarized imaging of the antiferromagnetic structure and field-tunable bound states in kagome magnet FeSn
• Role of electronic correlations in the Kagome lattice superconductor LaRh${}_3$B${}_2$
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Superconductivity arising from pressure induced Lifshitz transition in Rb${}_2$Pd${}_3$Se${}_4$ with kagome lattice
• Frustrated Magnetism in Mott Insulating (V${}_{1-x}$Cr${}_x$)${}_2$O${}_3$
• Flat-Band Itinerant Antiferromagnetism in the Kagome Metal CoSn1-xInx
• Electronic Correlations and Evolution of the Charge-Density Wave in the Kagome Metals $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, Cs)
• Tilted Dirac cones and topological transitions in strained kagome lattices
• Magnetic kagome materials RETi3Bi4 family with weak interlayer interactions
• Kagome metals
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Chemical Principles of Intrinsic Topological Superconductors
• Temperature dependence of correlated electronic states in archetypal kagome metal CoSn
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Pressure-induced superconductivity in kagome single crystal Pd3P2S8
• Large ordered moment with strong easy-plane anisotropy and vortex-domain pattern in the kagome ferromagnet Fe${}_3$Sn
• Order-by-disorder charge density wave condensation at $\text{q}=(\frac{1}{3},\frac{1}{3},\frac{1}{3})$ in kagome metal ScV${}_6$Sn${}_6$
• Correlation driven near-flat band Stoner excitations in a Kagome magnet
• Low-Energy Model and Electron-Hole Doping Asymmetry of Single-Layer Ruddlesden-Popper Iridates
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Emergent chiral spin ordering and anomalous Hall effect of kagome lattice at 1/3 filling
• Magnetoresistance signature of two-dimensional electronic states in Co${}_3$Sn${}_2$S${}_2$
• Cascade of phase transitions and large magnetic anisotropy in a triangle-kagome-triangle trilayer antiferromagnet
• A density-wave-like transition in the polycrystalline V3Sb2 sample with bilayer kagome lattice
• Intermediate valence in single crystalline Yb${}_2$Si${}_2$Al
• Magnetism in AV3Sb5 (Cs, Rb, K): Origin and Consequences for the Strongly Correlated Phases
• Spin excitations in the kagome-lattice metallic antiferromagnet Fe${}_{0.89}$Co${}_{0.11}$Sn
• Optical anisotropy of the kagome magnet FeSn: Dominant role of excitations between kagome and Sn layers
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Interplay between strong correlations and electronic topology in the underlying kagome lattice of Na2/3CoO2
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Hall effect evidence for an interplay between electronic correlations and Na order induced electronic bands topology in NaxCoO2
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Reactivity of ultra-thin Kagome Metal FeSn towards Oxygen and Water
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Magnetic correlations in the semimetallic hyper-kagome iridate Na3Ir3O8
• Persistence of charge density wave fluctuations in the absence of long-range order in a hole-doped kagome metal
• Theory of unconventional magnetism in a Cu-based kagome metal
• de Haas-van Alphen effect of correlated Dirac states in kagome metal Fe3Sn2
• Exceptional flat bands in bipartite non-Hermitian lattices
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Classification of mass terms in kagome semimetals
• High-throughput study of kagome compounds in the AV3Sb5 family