# Twists and The Electronic Structure of Graphitic Materials

## TL;DR

This paper investigates how twisting layers in graphitic materials affects their electronic properties, revealing complex phenomena like flat bands and resonances, with implications for material design.

## Contribution

It introduces a generalized method to analyze electronic structures in twisted layered graphene configurations, applicable to various stacking sequences.

## Key findings

- Presence of sharp resonances at small twist angles
- Emergence of flat bands in twisted configurations
- Method applicable to complex stacking arrangements

## Abstract

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.