Density wave halo around anyons in fractional quantum anomalous Hall states

Fractional quantum anomalous Hall (FQAH) states of matter with anyon excitations were discovered in 2023. Their intertwinement with a charge density wave (CDW) is captured by a recently developed quantum Ginzburg-Landau theory. This paper uses this theory to predict that localized anyons will nucleate particular spatial modulations of the electrical charge density, reflecting those in a proximate CDW phase. This phenomenon can be probed by scanning tunneling microscopy and be used to detect electron fractionalization.