In some quantum materials, which are materials governed by quantum mechanical effects, interactions between charged particles (i.e., electrons) can prompt the creation of quasiparticles called anyons, which carry only a fraction of an electron’s charge (i.e., fractional charge) and fractional quantum statistics.
A well-known phenomenon characterized by the emergence of anyons is the so-called fractional quantum Hall effect (FQHE). This effect can emerge in two-dimensional (2D) electron gases under strong magnetic fields and is marked by quantum states in which electrons strongly interact with each other.
Recent studies showed that a similar effect can also arise in the absence of magnetic fields, known as fractional quantum anomalous Hall (FQAH) effect, in quantum phases of matter fractional Chern insulators (FCIs). The FQAH effect was realized for the first time using bilayer twisted molybdenum ditelluride (tMoTe₂)—a moiré superlattice that has a characteristic lattice pattern and a slight twist angle between constituent layers.








