From quantum anomalous Hall phases to topological metals in interacting decorated honeycomb lattices

Abstract

An analysis of the stability of topological states induced by Coulomb repulsion on decorated honeycomb lattices is presented. Based on a mean-field treatment of a spinless extended Hubbard model on the decorated honeycomb lattice we show how the quantum anomalous Hall (QAH) phase is a robust topological phase which emerges at various electron fillings and involves either quadratic band crossing points (QBCP) or Dirac points of the bands. The topological QAH phase is also found to be most stable against thermal fluctuations up to moderate temperatures when the Coulomb repulsion is maximally frustrated. We show how a topological metal can be induced from the QAH by electron doping the system in a broad electron doping range. Electrons on the Fermi surface of such metallic states are characterized by having a non-zero Berry phase which gives rise to a non-zero intrinsic quantum Hall conductivity.

arXiv comment9 pages, 7 figures

References in corpus (23)

• Topological Insulators
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Berry Phase Effects on Electronic Properties
• Topological Insulators with Inversion Symmetry
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Topological Mott Insulators
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Quantum Anomalous Hall Effect in 2D Organic Topological Insulators
• Electrically tunable quantum anomalous Hall effect in 5d transition-metal adatoms on graphene
• Organic Topological Insulators in Organometallic Lattices
• Phase analysis of quantum oscillations in graphite
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Topological Insulators on the Decorated Honeycomb Lattice
• Deformation of the Fermi surface in the extended Hubbard model
• Spin-orbit coupling and strong electronic correlations in cyclic molecules
• Emergence of quasi-one-dimensional physics in Mo${}_3$S${}_7$(dmit)${}_3$, a nearly-isotropic three-dimensional molecular crystal
• Heisenberg and Dzyaloshinskii-Moriya interactions controlled by molecular packing in tri-nuclear organometallic clusters
• Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
• Spin-orbit coupling in {Mo${}_3$S${}_7$(dmit)${}_3$}
• Effects of anisotropy in spin molecular-orbital coupling on effective spin models of trinuclear organometallic complexes
• Measuring the Chern number with quantum oscillations

Cited by in corpus (3)

• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Unconventional superconductivity near a flat band in organic and organometallic materials
• Magnetism and topological phases in an interacting decorated honeycomb lattice with spin-orbit coupling