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By combining exotic band dispersion with nontrivial band topology, aninteresting type of band structure, namely the flat chern band (FCB), hasrecently been proposed to spawn high-temperature fractional quantum hallstates. Despite the proposal of several theoretical lattice models, however, itremains a doubt whether such a "romance of flatland" could exist in a realmaterial. Here, we present a first-principles design of a two-dimensional (2D)Indium-Phenylene Organometallic Framework (IPOF) that realizes a nearly FCBright around the Fermi level by combining lattice geometry, spin-orbit couplingand ferromagnetism. An effective four-band model is constructed to reproducethe first-principles results. Our design in addition provides a generalstrategy to synthesize topologically nontrivial materials in virtue of organicchemistry and nanotechnology.

Flat Chern Band in a Two-Dimensional Organometallic Framework