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 …

We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …

We develop a two stage renormalization group which connects the continuum Hamiltonian
for twisted bilayer graphene at length scales shorter than the moire superlattice period to the …

Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

This paper presents a mathematical and numerical analysis of the flat-band wave functions
occurring in the chiral model of twisted bilayer graphene at the “magic” twist angles. We …

We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …

It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …

We present a framework for understanding the cascade transitions and the Landau level
degeneracies of twisted bilayer graphene. The Coulomb interaction projected onto narrow …

We construct a heavy fermion representation for twisted bilayer graphene (TBG) systems.
Two local orbitals (per spin/valley) are analytically found, which are exactly the maximally …

Magic-angle twisted bilayer graphene has recently become a thriving material platform
realizing correlated electron phenomena taking place within its topological flat bands …