Moiré-induced fragile topology and Chern bands in twisted organic kagome bilayers

Twisting two carbonyl-triphenyl kagome layers produces a moir\'e superlattice with flat bands near the Fermi level and distinct, angle-selective topology. The authors find here a fragile \ensuremath{\mathbb{Z}}${}_{2}$ region at 10.83\ifmmode^\circ\else\textdegree\fi{}, identified by non-Abelian Wilson loops, and at 11.46\ifmmode^\circ\else\textdegree\fi{} individual near-Fermi bands carry Chern numbers \ifmmode\pm\else\textpm\fi{}1 while the combined subspace remains neutral. Moir\'e-induced symmetry breaking generates Haldane-like loop currents and concentrated Berry curvature, establishing a tunable, all-organic platform where chemistry and twist jointly engineer correlated and topological electronic behavior with control.