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 (3)

• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice

Cited by in corpus (80)

• Topological kagome magnets and superconductors
• 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
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Flat bands, strange metals, and the Kondo effect
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Large topological Hall effect in a geometrically frustrated kagome magnet Fe${}_3$Sn${}_2$
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Softening of a flat phonon mode in the kagome ScV${}_6$Sn${}_6$
• Anomalous Hall effect in ferrimagnetic metal RMn6Sn6 (R = Tb, Dy, Ho) with clean Mn kagome lattice
• 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
• 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
• 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
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• GdV6Sn6: a Multi-carrier Metal with Non-magnetic 3d-electron Kagome Bands and 4f-electron Magnetism
• Nanoscale visualization and spectral fingerprints of the charge order in ScV6Sn6 distinct from other kagome metals
• Evolution of electronic structure in pristine and hole-doped kagome metal RbV${}_3$Sb${}_5$
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Robust Kagome Electronic Structure in Topological Quantum Magnets XMn6Sn6 (X = Dy, Tb, Gd, Y)
• 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
• 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
• Competing itinerant and local spin interactions in kagome metal FeGe
• 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
• 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
• Superconductivity modulated by structural phase transitions in pressurized vanadium-based kagome metals
• Topological Hall effect induced by chiral fluctuations in ErMn6Sn6
• Spin-polarized imaging of the antiferromagnetic structure and field-tunable bound states in kagome magnet FeSn
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Role of electronic correlations in the Kagome lattice superconductor LaRh${}_3$B${}_2$
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Superconductivity arising from pressure induced Lifshitz transition in Rb${}_2$Pd${}_3$Se${}_4$ with kagome lattice
• Electronic Correlations and Evolution of the Charge-Density Wave in the Kagome Metals $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, Cs)
• Flat-Band Itinerant Antiferromagnetism in the Kagome Metal CoSn1-xInx
• Tilted Dirac cones and topological transitions in strained kagome lattices
• Magnetic kagome materials RETi3Bi4 family with weak interlayer interactions
• Kagome metals
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Chemical Principles of Intrinsic Topological Superconductors
• Pressure-induced superconductivity in kagome single crystal Pd3P2S8
• Correlation driven near-flat band Stoner excitations in a Kagome magnet
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• 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${}_6$
• Large ordered moment with strong easy-plane anisotropy and vortex-domain pattern in the kagome ferromagnet Fe${}_3$Sn
• 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)
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• 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
• 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
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Reactivity of ultra-thin Kagome Metal FeSn towards Oxygen and Water
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Persistence of charge density wave fluctuations in the absence of long-range order in a hole-doped kagome metal
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Classification of mass terms in kagome semimetals
• Theory of unconventional magnetism in a Cu-based kagome metal
• Exceptional flat bands in bipartite non-Hermitian lattices
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• High-throughput study of kagome compounds in the AV3Sb5 family