Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

Motivated by the recent observation of an anomalous Hall effect in twisted bilayer graphene,
we use a lowest Landau level model to understand the origin of the underlying symmetry …

We describe recent progress in our understanding of the interplay between interactions,
symmetry, and topology in states of quantum matter. We focus on a minimal generalization …

When one of the graphene layers of magic-angle twisted bilayer graphene is nearly aligned
with its hexagonal boron nitride substrate (a configuration dubbed TBG/hBN), the active …

Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …

We present a pedagogical review of the physics of fractional Chern insulators with a
particular focus on the connection to the fractional quantum Hall effect. While the latter …

We study topological phases of interacting systems in two spatial dimensions in the absence
of topological order (ie, with a unique ground state on closed manifolds and no fractional …

Topological insulators are characterized by a non-trivial band topology driven by the spin-
orbit coupling. To fully explore the fundamental science and application of topological …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …