Twists and The Electronic Structure of Graphitic Materials

Understand

We analyze the effect of twists on the electronic structure of configurations of infinite stacks of graphene layers.

• We focus on three different cases: an infinite stack where each layer is rotated with respect to the previous one by a fixed angle, two pieces of semi-infinite graphite rotated with respect to each other, and finally a single layer of graphene rotated with respect to a graphite surface.
• In all three cases we find a rich structure, with sharp resonances and flat bands for small twist angles.
• The method used can be easily generalized to more complex arrangements and stacking sequences.