Moiré Fractional Phases of Matter - Advances in Condensed Matter Physics

Explore the groundbreaking developments in condensed matter physics with this lecture on Moiré fractional phases of matter. Delve into the recent experimental observations of fractional Chern insulators (FCIs) in twisted homobilayer MoTe2 and pentalayer rhombohedral graphene on hBN. Examine the significance of these discoveries as zero-magnetic field analogs of fractional quantum Hall states. Learn how the combination of ab-initio and quantum many-body calculations helps capture the features observed in experiments. Discuss the potential future of this rapidly evolving field, including the possibility of observing fractional topological insulators. Gain insights into the theoretical frameworks and predictions surrounding FCIs that preceded these experimental breakthroughs. Understand the unique properties of anyons as quasiparticles with fractional charge and unconventional exchange statistics. Discover how these recent findings expand our understanding of topological order beyond the fractional quantum Hall effect.