Berry curvature physics and quantum geometric effects have been instrumental in
advancing topological condensed matter physics in recent decades. Although Landau level …

We predict the emergence of a state of matter with intertwined ferromagnetism, charge order,
and topology in fractionally filled moiré superlattice bands. Remarkably, these quantum …

We study a model of electrons moving in a parent band of uniform Berry curvature. At
sufficiently high parent Berry curvature, we show that strong repulsive interactions …

Electrons in topological flat bands can form new topological states driven by correlation
effects. The pentalayer rhombohedral graphene/hexagonal boron nitride (hBN) moiré …

We propose a minimal “three-patch model” for the anomalous Hall crystal (AHC), a
topological electronic state that spontaneously breaks both time-reversal symmetry and …

Recent experiments showing an integer quantum anomalous Hall effect in pentalayer
rhombohedral graphene have been interpreted in terms of a valley-polarized interaction …

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 …

Orbital magnetization provides a sensitive probe of topology and interactions, with
particularly rich phenomenology in Chern insulators in which the topological edge states …

Remarkable recent experiments on the moiré structure formed by pentalayer rhombohedral
graphene aligned with a hexagonal boron nitride substrate report the discovery of a zero …

The standard theoretical framework for fractional quantum anomalous Hall (FQAH) effect
assumes an isolated flat Chern band in the single particle level. In this Letter, we challenge …