Topological Insulators on the Lieb and Perovskite Lattices

Abstract

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge centered cubic (perovskite) lattice are shown to form topologically non-trivial insulating phases when spin-orbit coupling is introduced. These simple models on lattices with cubic symmetry show a Dirac-like structure in the excitation spectrum but with the unusual feature that there is a dispersionless band through the center of the spectrum and only a single Dirac cone per Brillouin zone.

arXiv comment5 pages, 3 figures

References in corpus (25)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators in Three Dimensions
• 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
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantum Spin Hall Effect
• Mott physics and band topology in materials with strong spin-orbit interaction
• Seeing the magnetic monopole through the mirror of topological surface states
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Topological insulator on the kagome lattice
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Band touching from real space topology in frustrated hopping models
• Exciton condensation and charge fractionalization in a topological insulator film
• Spin Hall effects for cold atoms in a light induced gauge potential
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Engineering artificial graphene in a two-dimensional electron gas
• Three-dimensional Topological Insulators on the Pyrochlore Lattice
• Witten effect in a crystalline topological insulator
• Topological Insulators and Metals in Atomic Optical Lattices
• Topological Insulators on the Decorated Honeycomb Lattice

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