  We study the localization properties of electrons in incommensurate twisted
bilayer graphene for small angles, encompassing the narrow-band regime, by
numerically exact means. Sub-ballistic states are found within the narrow-band
region around the magic angle. Such states are delocalized in momentum-space
and follow non-Poissonian level statistics, in contrast with their ballistic
counterparts found for close commensurate angles. Transport results corroborate
this picture: for large enough systems, the conductance decreases with system
size for incommensurate angles within the sub-ballistic regime. Our results
show that incommensurability effects are of crucial importance in the
narrow-band regime. The incommensurate nature of a general twist angle must
therefore be taken into account for an accurate description of magic-angle
twisted bilayer graphene.
