Flat Chern Band in a Two-Dimensional Organometallic Framework

Abstract

By combining exotic band dispersion with nontrivial band topology, an interesting type of band structure, namely the flat chern band (FCB), has recently been proposed to spawn high-temperature fractional quantum hall states. Despite the proposal of several theoretical lattice models, however, it remains a doubt whether such a "romance of flatland" could exist in a real material. Here, we present a first-principles design of a two-dimensional (2D) Indium-Phenylene Organometallic Framework (IPOF) that realizes a nearly FCB right around the Fermi level by combining lattice geometry, spin-orbit coupling and ferromagnetism. An effective four-band model is constructed to reproduce the first-principles results. Our design in addition provides a general strategy to synthesize topologically nontrivial materials in virtue of organic chemistry and nanotechnology.

5 pages, 2 figures and 1 table

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• Topological states on the breathing kagome lattice
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• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
• First-Principles Design of a Half-Filled Flat Band of the Kagome Lattice in Two-Dimensional Metal-Organic Frameworks
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• Screening 2D materials with topological flat bands
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• Desiging Artificial Lieb Lattice on Metal Surface
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• Tunable Topological States in Electron-Doped HTT-Pt
• Epitaxial Growth of Ultraflat Bismuthene with Large Topological Band Inversion Enabled by Substrate-Orbital-Filtering Effect
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• Extended flat-bands, entanglement and topological properties in a Creutz ladder
• Orbital Design of Flat Bands in Non-Line-Graph Lattices via Line-Graph Wavefunctions
• Coupling effect of topological states and Chern insulators in two-dimensional triangular lattices
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• Large Band Gap Quantum Anomalous Hall Phase in Hexagonal Organometallic Frameworks
• Robust flat bands in RCo5 (R=rare earth) compounds
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• Bending Strain Engineering of Spin Transport in Quantum Spin Hall Systems: Topological Nano-mechanospintronics
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• Flat-band solutions in $D$-dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
• Isolated Flat Bands and Physics of Mixed Dimensions in a 2D Covalent Organic Framework
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• Topological Proximity Effects in Graphene Nanoribbon Heterostructures
• Ferromagnetic phase of spinel compound MgV${}_2$O${}_4$ and its spintronics properties
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• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Emergence of Nearly Flat Bands through an Embedded Kagome Lattice in an Epitaxial Two-dimensional Ge Layer on ZrB2(0001)
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• Anomalous fractional quantum Hall effect and multi-valued Hamiltonians
• Isolated nearly flat higher Chern band in monolayer transition metal trihalides
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
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• Engineering two-dimensional kagome topological insulator from porous graphene
• Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices
• Anomalous Bilayer Quantum Hall Effect
• Viewpoint: Toward Fractional Quantum Hall physics with cold atoms
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• Optical Black-hole Analog Created by Topological Phase Transition with a Long-lived Horizon
• Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
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• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of Co${}_3$X${}_3$Y${}_2$ ($X=\mathrm{Sn},\mathrm{Pb}$; $Y=\mathrm{S},\mathrm{Se}$)
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction