Moiré materials have emerged as a platform for exploring the physics of strong electronic
correlations and non-trivial band topology. Here we review the recent progress in …

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …

The interplay between spontaneous symmetry breaking and topology can result in exotic
quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state …

The integer quantum anomalous Hall (QAH) effect is a lattice analogue of the quantum Hall
effect at zero magnetic field,–. This phenomenon occurs in systems with topologically non …

Chern insulators, which are the lattice analogues of the quantum Hall states, can potentially
manifest high-temperature topological orders at zero magnetic field to enable next …

The interplay between strong correlations and topology can lead to the emergence of
intriguing quantum states of matter. One well-known example is the fractional quantum Hall …

The discovery of correlated states and superconductivity in magic-angle twisted bilayer
graphene (MATBG) established a new platform to explore interaction-driven and topological …

The fractional quantum anomalous Hall effect (FQAHE), the analogue of the fractional
quantum Hall effect at zero magnetic field, is predicted to exist in topological flat bands …

Overlaying two atomic layers with a slight lattice mismatch or at a small rotation angle
creates a moiré superlattice, which has properties that are markedly modified from (and at …

Moiré materials have enabled the realization of flat electron bands and quantum phases that
are driven by the strong correlations associated with flat bands,,–. Superconductivity has …