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Doping graphene near the 1/4 filling to shift the extended flat band and vanHove singularity below E$_F$ has been highly desirable. Here we report theexperimental observation of an extended flat band below E$_F$ inLi-intercalated graphene. Strong electron-phonon interaction is clearlyidentified by notable kinks in the band dispersion. Moreover, the evolution ofthe band structure upon Li intercalation shows that the extended flat band andthe Kekul\'e order emerge simultaneously. Our work provides opportunities forinvestigating flat band related instabilities and its interplay with theKekul\'e order

Coexistence of extended flat band and Kekul\'e order in Li-intercalated graphene