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 (25)

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• 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
• 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
• Strong magnetic frustration in Y${}_3$Cu${}_9$(OH)${}_{19}$Cl${}_8$: a distorted kagome antiferromagnet
• Superconductivity from repulsive interactions on the kagome lattice
• 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
• 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)
• 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)
• Observation of flat and weakly dispersing bands in a van der Waals semiconductor Nb3Br8 with breathing kagome lattice
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• Correlation driven near-flat band Stoner excitations in a Kagome magnet
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Magnetoresistance signature of two-dimensional electronic states in Co${}_3$Sn${}_2$S${}_2$
• Magnetism in AV3Sb5 (Cs, Rb, K): Origin and Consequences for the Strongly Correlated Phases