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Twisted bilayer graphene (TBG) and other quasi-two-dimensional moir\'esuperlattices have attracted significant attention due to the emergence ofvarious correlated and topological states associated with the flat bands inthese systems. In this work, we theoretically explore the physical propertiesof a new type of \textit{three dimensional graphite moir\'e superlattice}, thebulk alternating twisted graphite (ATG) system with homogeneous twist angle,which is grown by in situ chemical vapor decomposition method. Compared to TBG,the bulk ATG system is bestowed with an additional wavevector degrees offreedom due to the extra dimensionality. As a result, we find that when thetwist angle of bulk ATG is smaller than twice of the magic angle of TBG, therealways exist ``magic momenta" at which the in-plane Fermi velocities of themoir\'e bands vanish. Moreover, topologically distinct flat bands of TBG atdifferent magic angles can even co-exist at different out-of-plane wavevectorsin a single bulk ATG system. Most saliently, when the twist angle is relativelylarge, exactly dispersionless three dimensional zeroth Landau level wouldemerge in the bulk ATG, which may give rise to robust three dimensional quantumHall effects over a large range of twist angles.

Magic momenta and three dimensional Landau levels from a three dimensional graphite moir\'e superlattice