Semiconductor moiré superlattices have been shown to host a wide array of interaction-
driven ground states. However, twisted homobilayers have been difficult to study in the limit …

Recent experiments observed fractional Chern insulators (FCI) in twisted bilayer MoTe 2 at
zero magnetic field, yet even the single-particle model of this material is controversial …

Contemporary quantum materials research is guided by themes of topology and electronic
correlations. A confluence of these two themes is engineered in moiré materials, an …

The physical descriptions of known materials are based on quantum mechanics, which
describes how atoms bond and electrons interact at a fundamental level. However, there is …

Helical trilayer graphene (hTG) exhibits a supermoiré pattern with large domains centered
around stacking points ABA and BAB, where two well-separated low-energy bands appear …

We study the topological bands in twisted bilayer transition metal dichalcogenides in an
external magnetic field. We first focus on a paradigmatic model of WSe 2, which can be …

Charge, spin and Cooper-pair density waves have now been widely detected in exotic
superconductors. Understanding how these density waves emerge—and become …

Semiconductor moiré superlattices comprise an array of artificial atoms and provide a highly
tunable platform for exploring novel electronic phases. We introduce a theoretical framework …

In a lattice model subject to a perpendicular magnetic field, when the lattice constant is
comparable to the magnetic length, one enters the “Hofstadter regime,” where continuum …

The few-body problem (with N≤ 6 fermionic charge carriers) in isolated moiré quantum dots
(MQDs) in transition metal dichalcogenide (TMD) bilayer materials with integer fillings, ν≥ 2 …