FQAH and Anyon Density-Wave Halo in Twisted Bilayer MoTe2

This paper investigates the interplay between topological order and symmetry breaking phases in twisted bilayer MoTe2, a material where fractional quantum anomalous Hall (FQAH) states have been experimentally observed. The study uses large-scale DMRG simulations to explore the system's behavior at a specific filling factor. The findings provide numerical evidence for FQAH ground states and anyon excitations, supporting the 'anyon density-wave halo' picture. The paper also maps out a phase diagram, revealing charge-ordered states emerging from the FQAH, including a quantum anomalous Hall crystal (QAHC). This work is significant because it contributes to understanding correlated topological phases in moiré systems, which are of great interest in condensed matter physics.