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We investigate the twisted bilayer graphene by a two-orbital Hubbard model onthe honeycomb lattice. The model is studied near 1/4 band filling by using thesingular-mode functional renormalization group theory. Spin-triplet $f$-wavepairing is found from weak to moderate coupling limit of the localinteractions, and is associated with the Hund's rule coupling andincommensurate spin fluctuations at moderate momenta.

Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling