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 …

The long-wavelength moiré superlattices in twisted 2D structures have emerged as a highly
tunable platform for strongly correlated electron physics. We study the moiré bands in …

The quantum anomalous Hall (QAH) effect combines topology and magnetism to produce
precisely quantized Hall resistance at zero magnetic field. We report the observation of a …

Topological aspects of the electron wave function—including the Berry curvature and Chern
number—play a crucial role in determining the physical properties of materials. Although the …

We show that moiré bands of twisted homobilayers can be topologically nontrivial, and
illustrate the tendency by studying valence band states in±K valleys of twisted bilayer …

Moiré superlattices enable the generation of new quantum phenomena in two-dimensional
heterostructures, in which the interactions between the atomically thin layers qualitatively …

Charge carriers in magic-angle graphene come in eight flavours described by a combination
of their spin, valley and sublattice polarizations. When inversion and time-reversal …

Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb
interactions, which favours ground states with non-zero electron spin. As a result, controlling …

We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …