Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

Quantum geometry defines the phase and amplitude distances between quantum states.
The phase distance is characterized by the Berry curvature and thus relates to topological …

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 …

A central result in superconductivity is that flat bands, though dispersionless, can still host a
nonzero superfluid weight due to quantum geometry. We show that the derivation of the …

In a series of recent reports, doped lead apatite (LK-99) has been proposed as a candidate
ambient temperature and pressure superconductor. However, from both an experimental …

The ground state and transport properties of the Lieb lattice flat band in the presence of an
attractive Hubbard interaction are considered. It is shown that the superfluid weight can be …

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 …

This paper provides a pedagogical introduction to recent developments in geometrical and
topological band theory following the discovery of graphene and topological insulators …

The recent realization of twisted, two-dimensional, bilayers exhibiting strongly correlated
states has created a platform in which the relation between the properties of the electronic …