  This article reviews progress in the theoretical modelling of the electronic
structure of rotationally faulted multilayer graphenes. In these systems the
crystallographic axes of neighboring layers are misaligned so that the layer
stacking does not occur in the Bernal structure observed in three dimensional
graphite and frequently found in exfoliated bilayer graphene. Notably,
rotationally faulted graphenes are commonly found in other forms of multilayer
graphene including epitaxial graphenes thermally grown on ${\rm SiC \, (000
\bar 1)}$, graphenes grown by chemical vapor deposition, folded mechanically
exfoliated graphenes, and graphene flakes deposited on graphite. Rotational
faults are experimentally associated with a strong reduction of the energy
scale for coherent single particle interlayer motion. The microscopic basis for
this reduction and its consequences have attracted significant theoretical
attention from several groups that are highlighted in this review.
