Two-dimensional kagome metal-organic framework Gd₂(C₆H₄)₃: a promising arcade for high-temperature fractional quantum anomalous Hall insulator

Realizing fractional quantum Hall effect in the lattice models has attracted tremendous interest because of both scientific interest and potential applications in low-power electronics and quantum computing. Compared with traditional semiconductor heterostructures, the lattice models provide a promising path to realizing fractional quantum Hall effect at high temperature and without strong magnetic field. Here, we predict that two-dimensional kagome metal-organic framework Gd₂(C₆H₄)₃ is a high-temperature fractional quantum anomalous Hall insulator, whose filling factors are fractions with odd denominators after considering two-body repulsive interactions. The results are firmly supported by the calculations of many-body energy spectra, many-body Chern number, occupation number, quasihole excitation spectra and particle entanglement spectra. Our work provides a feasible platform for the exploration of fractional quasiparticles, Abelian statistics, as well as the corresponding device applications.