Strongly correlated systems can give rise to spectacular phenomenology, from high-
temperature superconductivity to the emergence of states of matter characterized by long …

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 …

When two sheets of graphene are stacked on top of each other with a small twist of angle
θ≈ 1.1° between them, theory predicts the formation of a flat electronic band,. Experiments …

Magic-angle twisted bilayer graphene (MATBG) exhibits a range of correlated phenomena
that originate from strong electron–electron interactions. These interactions make the Fermi …

In magic angle twisted bilayer graphene (TBG), electron-electron interactions play a central
role, resulting in correlated insulating states at certain integer fillings. Identifying the nature …

The valence band maxima of most group VI transition metal dichalcogenide thin films remain
at the Γ point all of the way from bulk to bilayer. In this paper, we develop a continuum theory …

Motivated by the recently observed insulating states in twisted bilayer graphene, we study
the nature of the correlated insulating phases of the twisted bilayer graphene at …

Layers of two-dimensional materials stacked with a small twist angle give rise to beating
periodic patterns on a scale much larger than the original lattice, referred to as a “moiré …

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 introduce twisted trilayer graphene (tTLG) with two independent twist angles as an ideal
system for the precise tuning of the electronic interlayer coupling to maximize the effect of …