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Moir\'e superlattices in two-dimensional (2D) van der Waals (vdW)heterostructures provide 20 an efficient way to engineer electron bandproperties. The recent discovery of exotic quantum phases and their interplayin twisted bilayer graphene (tBLG) has built this moir\'e system one of themost renowned condensed matter platforms (1-10). So far the studies of tBLG hasbeen mostly focused on the lowest two flat moir\'e bands at the first magicangle {\theta}m1 ~ 1.1{\deg}, leaving high-order moir\'e bands and magic angleslargely unexplored. Here we report 25 an observation of multiple well-isolatedflat moir\'e bands in tBLG close to the second magic angle {\theta}m2 ~0.5{\deg}, which cannot be explained without considering electron-electioninteractions. With high magnetic field magneto-transport measurements, wefurther reveal a qualitatively new, energetically unbound Hofstadter butterflyspectrum in which continuously extended quantized Landau level gaps cross alltrivial band-gaps. The 30 connected Hofstadter butterfly strongly evidences thetopologically nontrivial textures of the multiple moir\'e bands. Overall, ourwork provides a new perspective for understanding the quantum phases in tBLGand the fractal Hofstadter spectra of multiple topological bands.

Multiple Flat Bands and Topological Hofstadter Butterfly in Twisted Bilayer Graphene Close to the Second Magic Angle