When single layers of 2D materials are stacked on top of one another with a small twist in
orientation, the resulting structure often involves incommensurate moiré patterns. In these …

This article reviews the theoretical and experimental work related to the electronic properties
of bilayer graphene systems. Three types of bilayer stackings are discussed: the AA, AB, and …

In narrow electron bands in which the Coulomb interaction energy becomes comparable to
the bandwidth, interactions can drive new quantum phases. Such flat bands in twisted …

The electronic properties of heterostructures of atomically thin van der Waals crystals can be
modified substantially by moiré superlattice potentials from an interlayer twist between …

Twisted bilayer graphene with a twist angle of around 1.1° features a pair of isolated flat
electronic bands and forms a platform for investigating strongly correlated electrons. Here …

The behaviour of strongly correlated materials, and in particular unconventional
superconductors, has been studied extensively for decades, but is still not well understood …

A van der Waals heterostructure is a type of metamaterial that consists of vertically stacked
two-dimensional building blocks held together by the van der Waals forces between the …

Electron–electron interactions play an important role in graphene and related systems and
can induce exotic quantum states, especially in a stacked bilayer with a small twist angle …

We develop an effective extended Hubbard model to describe the low-energy electronic
properties of the twisted bilayer graphene. By using the Bloch states in the effective …

We present a theory of phonon-mediated superconductivity in near magic angle twisted
bilayer graphene. Using a microscopic model for phonon coupling to moiré band electrons …