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 …

Recent experiments on multilayer rhombohedral graphene have unearthed a number of
interesting phenomena in the regime where integer and fractional quantum anomalous Hall …

Two-dimensional materials subject to long-wavelength modulations have emerged as novel
platforms to study topological and correlated quantum phases. In this article, we develop a …

The fractional Chern insulators (FCIs) observed in pentalayer rhombohedral
graphene/hexagonal boron nitride superlattices have a unique origin contrary to theoretical …

The rapid development of moir\'e quantum matter has recently led to the remarkable
discovery of the fractional quantum anomalous Hall effect, and sparked predictions of other …

We investigate the fractional quantum anomalous Hall (FQAH) effect in rhombohedral
multilayer graphene (RnG) in the presence of a strong applied displacement field. We first …

Fractional Chern insulators (FCI) with fractionally quantized Hall conductance at fractional
fillings and an extended quantum anomalous Hall (EQAH) crystal with an integer quantized …