Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid
to a strongly correlated two-dimensional electron system with properties that are …

Pristine graphene has been considered one of the most promising materials because of its
excellent physical and chemical properties. However, various defects in graphene produced …

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 …

The discovery of superconducting and insulating states in magic-angle twisted bilayer
graphene (MATBG), has ignited considerable interest in understanding the nature of …

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 …

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 …

Graphene-based materials exhibit remarkable electronic, optical, and mechanical
properties, which has resulted in both high scientific interest and huge potential for a variety …

Twisted bilayer graphene (TBG) was recently shown to host superconductivity when tuned to
special “magic angles” at which isolated and relatively flat bands appear. However, until …

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 …