Abstract
Fractional quantum anomalous Hall (FQAH) effect is among the most celebrated phenomena in strongly correlated systems, which is similar to and also believed to be beyond the fractional quantum Hall (FQH) effect in Landau levels.
Among the interesting topics in FQAH systems, the interplay of topological and charge orders is being widely discussed recently. Based on our numerical studies of the FQAH systems in topological flat-band systems, I will mainly focus on the coexistence of charge and topological orders but also include their competitions. More specifically, I will introduce two different forms of the coexistence of charge and topological orders. The related phase transitions will also be included. Besides, I will discuss the roton mode in these FQAH states, which is an intrinsic collective mode and also related to the topics above.
Anyone interested is welcome to attend.