Twistronics

[7] Also in 2010 researchers from Federico Santa María Technical University in Chile found that for a certain angle close to 1 degree the band of the electronic structure of twisted bilayer graphene became completely flat,[8] and because of that theoretical property, they suggested that collective behavior might be possible.

[9] In 2017, the research group of Efthimios Kaxiras at Harvard University used detailed quantum mechanics calculations to reduce uncertainty in the twist angle between two graphene layers that can induce extraordinary behavior of electrons in this two-dimensional system.

[11] Publication of these discoveries has generated a host of theoretical papers seeking to understand and explain the phenomena[12] as well as numerous experiments[3] using varying numbers of layers, twist angles and other materials.

The theoretical predictions of superconductivity were confirmed by Pablo Jarillo-Herrero and his student Yuan Cao of MIT and colleagues from Harvard University and the National Institute for Materials Science in Tsukuba, Japan.

[19] For example, a study published in Science in July 2019 found that with the addition of a boron nitride lattice between two graphene sheets, unique orbital ferromagnetic effects were produced at a 1.17° angle, which could be used to implement memory in quantum computers.

Atomic scale moiré pattern created by overlapping two skewed sheets of graphene , a hexagonal lattice composed of carbon atoms.
A twistronics animation. Here, we have 2 overlaid sheets, one of which rotates a total of 90 degrees. We see that as the angle of rotation changes, so does the periodicity.