Chern insulator with a nearly flat band in the metal-organic-framework-based Kagome lattice.

Based on first-principles density-functional theory (DFT) calculations, we report that the transition-metal bis-dithiolene, M₃C₁₂S₁₂ (M = Mn and Fe), complexes can be a two-dimensional (2D) ferromagnetic insulator with nontrivial Chern number. Among various synthetic pathways leading to metal bis-dithiolenes, the simplest choice of ligand, Benzene-hexathiol, connecting metal cations to form a Kagome lattice is studied following the experimental report of time-reversal symmetric isostructural compound Ni₃C₁₂S₁₂. We show sulfur and carbon-based ligands play the key role in making the complexes topologically nontrivial. An unusual topological quantum phase transition induced by the on-site Coulomb interaction brings a nearly flat band with a nonzero Chern number as the highest occupied band. With this analysis we explain the electronic structure of the class M₃C₁₂S₁₂ and predict the existence of nearly flat band with nonzero Chern number and it can be a fractional Chern insulator candidate with carrier doping. [ABSTRACT FROM AUTHOR]