title: 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 sp(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 GaCu3(OH)6Cl2 (Ga-substituted herbertsmithite) as a correlated Dirac-Kagome metal combining Dirac electrons, strong interactions and frustrated magnetic interactions. Using density functional theory, 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 diverse, 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.
authors: Code 6393, Naval Research Laboratory, Washington, District of Columbia 20375, USA.
authors: I I
authors: II
authors: Mazin
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany.
authors: Harald O
authors: HO
authors: Jeschke
authors: I. Institut für Theoretische Physik, Universität Hamburg, D-20355 Hamburg, Germany.
authors: Frank
authors: F
authors: Lechermann
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany.
authors: Hunpyo
authors: H
authors: Lee
authors: Institut für Theoretische Physik I, Universität Würzburg, am Hubland, 97074 Würzburg, Germany.
authors: Mario
authors: M
authors: Fink
authors: Institut für Theoretische Physik I, Universität Würzburg, am Hubland, 97074 Würzburg, Germany.
authors: Ronny
authors: R
authors: Thomale
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany.
authors: Roser
authors: R
authors: Valentí