Abstract Two-dimensional (2D) materials exhibit enhanced physical, chemical, electronic,
and optical properties when compared to those of bulk materials. Graphene demands …

Materials with flat electronic bands often exhibit exotic quantum phenomena owing to strong
correlations. An isolated low-energy flat band can be induced in bilayer graphene by simply …

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 show that the Wannier obstruction and the fragile topology of the nearly flat bands in
twisted bilayer graphene at magic angle are manifestations of the nontrivial topology of two …

We study the electron-phonon coupling in twisted bilayer graphene (TBG), which was
recently experimentally observed to exhibit superconductivity around the magic twist angle …

We build symmetry-adapted maximally localized Wannier states and construct the low-
energy tight-binding model for the four narrow bands of twisted bilayer graphene. We do so …

A remarkable feature of the band structure of bilayer graphene at small twist angle is the
appearance of isolated bands near neutrality, whose bandwidth can be reduced at certain …

A recent experiment reported a large anomalous Hall effect in magic angle twisted bilayer
graphene (TBG) aligned with a hexagonal boron nitride (h-BN) substrate at 3/4 filling of the …

Correlated insulators and superconductivity have been observed in “magic-angle” twisted
bilayer graphene, when the nearly flat bands close to neutrality are partially filled. While a …

The recent discovery of the Mott insulating and superconducting phases in twisted bilayer
graphene has generated tremendous research interest. Here, we develop a weak coupling …