Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid
to a strongly correlated two-dimensional electron system with properties that are …

We present the science and technology roadmap for graphene, related two-dimensional
crystals, and hybrid systems, targeting an evolution in technology, that might lead to impacts …

INTRODUCTION Physical systems that exhibit topological invariants are naturally endowed
with robustness against perturbations, as was recently demonstrated in many settings in …

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 …

The Haldane model on a honeycomb lattice is a paradigmatic example of a Hamiltonian
featuring topologically distinct phases of matter. It describes a mechanism through which a …

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 …

Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

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 …

We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …