Topological Insulators on the Lieb and Perovskite Lattices
arXiv:1004.5172 · doi:10.1103/PhysRevB.82.085310
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.
5 pages, 3 figures
References in corpus (12)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- 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
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Exciton condensation and charge fractionalization in a topological insulator film
- Spin Hall effects for cold atoms in a light induced gauge potential
- Engineering artificial graphene in a two-dimensional electron gas
- Topological Insulators and Metals in Atomic Optical Lattices
Cited by in corpus (52)
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- Observation of topological flat bands in the kagome semiconductor NbCl
- Superconducting Transitions in Flat Band Systems
- Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
- Surface magnetic ordering in topological insulators with bulk magnetic dopants
- Topology-induced phase transitions in quantum spin Hall lattices
- Quantum Anomalous Hall Effect in Flat Band Ferromagnet
- Desiging Artificial Lieb Lattice on Metal Surface
- Quantum Interactions in Topological R166 Kagome Magnet
- Quasicrystalline Chern Insulators
- Flat bands and nontrivial topological properties in an extended Lieb lattice
- p-band engineering in artificial electronic lattices
- General construction of flat bands with and without band crossings based on wave function singularity
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- Disorder-induced topological phase transitions on Lieb lattices
- Quantum optics with giant atoms in a structured photonic bath
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- Optical response of two-dimensional Dirac materials with a flat band
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- Topological states in a dimerized system with staggered magnetic fluxes
- Sublattice-sensitive Majorana Modes
- Andreev reflection of massive pseudospin-1 fermions
- Lieb lattices formed by real atoms on Ag(111) and their lattice constant dependent electronic properties
- Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
- Optical properties of two dimensional Dirac Weyl materials with a flatband
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- Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
- Designing single and degenerate flat bands in the kagome lattice with long-range hopping
- Quantum percolation on Lieb Lattices
- Ground state spin and excitation energies in half-filled Lieb lattices
- Fragmented exceptional points and their bulk and edge realizations in lattice models
- Transversal transport of magnons in a modified Lieb lattice
- Finite temperatures and flat bands: the Hubbard model on three-dimensional Lieb lattices
- Altermagnetism and its induced higher-order topology on the Lieb lattice
- Holographic Lieb lattice and gapping its Dirac band
- Topological phase diagram of the Haldane model on a Bishamon-kikko--honeycomb lattice
- Symmetry-protected flatband condition for Hamiltonians with local symmetry
- Helical boundary modes from synthetic spin in a plasmonic lattice
- Localization and Flat Bands in Bond-Inflated Lattices
- Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
- Disorder effects in two-dimensional flat-band system with next-nearest-neighbor hopping
- Topological phases of monolayer and bilayer depleted Lieb lattices
- Spin-imbalance induced buried topological edge currents in Mott \& topological insulator heterostructures
- Influence of flat bands on RKKY interaction: perspective of Fano defects
- Large-Gap Quantum Anomalous Hall Effect in Monolayer Halide Perovskite