Contemporary quantum materials research is guided by themes of topology and electronic
correlations. A confluence of these two themes is engineered in moiré materials, an …

Twisted van der Waals heterostructures have latterly received prominent attention for their
many remarkable experimental properties and the promise that they hold for realizing …

Magic-angle (θ= 1.0 5°) twisted bilayer graphene (MATBG) has shown two seemingly
contradictory characters: the localization and quantum-dot-like behavior in STM …

The emergence of superconductivity and correlated insulators in magic-angle twisted bilayer
graphene (MATBG) has raised the intriguing possibility that its pairing mechanism is distinct …

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 …

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 …

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

We identify states favored by Coulomb interactions projected onto the Wannier basis of the
four narrow bands of the “magic angle” twisted bilayer graphene. At the filling of 2 …

We derive the exact insulator ground states of the projected Hamiltonian of magic-angle
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …