From “Ma Shuo” to “Super-Moiré Shuo”

Research on quantum Moiré materials has attracted great attention in the field of condensed matter physics. This article starts with a physics version of“Ma Shuo”(by Han Yu, 768-824 AD) to guide readers to appreciate the new progress in this field: how to obtain super-Moiré materials with larger unit cell lengths through quantum interference effects, and how to realize magnetic Bloch states and integer Brown—Zak quantum oscillations that have not been observed before. We also provide a historical review on the study of the movement of electrons in lattice potential fields in magnetic fields over the past 50 years, from Hofstadter’s butterfly energy spectrum to graphene, then to twisted bilayer graphene and the current super-Moiré materials, and finally back to Hofstadter’s famous book 《Gödel, Escher, Bach》, completing a logical loop from theory to computation to experiment. The realization of super-Moiré materials has opened up a new path for the study of two-dimensional quantum materials, and will have important prospects in fields such as quantum communication and computing.