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 …

After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

Certain lattice wave systems in translationally invariant settings have one or more spectral
bands that are strictly flat or independent of momentum in the tight binding approximation …

Electronic flat bands in momentum space, arising from strong localization of electrons in real
space, are an ideal stage to realize strongly-correlated phenomena. Theoretically, the flat …

An electron gas in a one-dimensional periodic potential can be transported even in the
absence of a voltage bias if the potential is slowly and periodically modulated in time …

Geometry, whether on the atomic or nanoscale, is a key factor for the electronic band
structure of materials. Some specific geometries give rise to novel and potentially useful …

Topological materials exhibit protected edge modes that have been proposed for
applications in, for example, spintronics and quantum computation. Although a number of …

Observation of strong correlations and superconductivity in twisted-bilayer graphene,,–has
stimulated tremendous interest in fundamental and applied physics,,–. In this system, the …

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 …

A flatband representing a highly degenerate and dispersionless manifold state of electrons
may offer unique opportunities for the emergence of exotic quantum phases. To date …