Topological Insulators on the Decorated Honeycomb Lattice

Abstract

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with respect to various symmetry breaking perturbations and demonstrate the connection to the recently discovered exactly solvable S=1/2 chiral spin liquid model [Phys. Rev. Lett. 99, 247203 (2007)] with non-Abelian and Abelian excitations on the same lattice. Our work highlights the relationship between topological band insulators and topologically ordered spin systems, and points to promising avenues for enlarging the number of known examples of both.

7 pages, 5 figures

References in corpus (24)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Mott physics and band topology in materials with strong spin-orbit interaction
• Nonlocal edge state transport in the quantum spin Hall state
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Topological Mott Insulators
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological insulator on the kagome lattice
• Electron fractionalization in two-dimensional graphenelike structures
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• An exact chiral spin liquid with non-Abelian anyons
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• A $\Gamma$-matrix generalization of the Kitaev model
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Optical Kagome lattice for ultra-cold atoms with nearest neighbor interactions
• Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
• A Fractionalized Quantum Spin Hall Effect

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• Flat bands and nontrivial topological properties in an extended Lieb lattice
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
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• Quantum anomalous Hall effect on star lattice with spin-orbit coupling and exchange field
• Excited quantum Hall effect: enantiomorphic flat bands in a Yin-Yang Kagome lattice
• Magnon Hall Effect without Dzyaloshinskii-Moriya Interaction
• Charge Density Waves on a Half-Filled Decorated Honeycomb Lattice
• Exactly Solvable Topological Chiral Spin Liquid with Random Exchange
• Emergence of quasi-one-dimensional physics in Mo${}_3$S${}_7$(dmit)${}_3$, a nearly-isotropic three-dimensional molecular crystal
• Topological Magnon Bands in Ferromagnetic Star Lattice
• Topological states in a dimerized system with staggered magnetic fluxes
• Spin-orbit coupling in {Mo${}_3$S${}_7$(dmit)${}_3$}
• From quantum anomalous Hall phases to topological metals in interacting decorated honeycomb lattices
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Unconventional superconductivity near a flat band in organic and organometallic materials
• Effects of anisotropy in spin molecular-orbital coupling on effective spin models of trinuclear organometallic complexes
• Magnetism and topological phases in an interacting decorated honeycomb lattice with spin-orbit coupling
• Three-dimensional topological insulators in the octahedron-decorated cubic lattice
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• $C_3$ symmetry breaking metal-insulator transitions in a flat band in the half-filled Hubbard model on the decorated honeycomb lattice
• Nematic Metal and Antiferromagnetic Insulator on Hexagonal Kagome Lattice