Interaction-induced lattices for bound states: Designing flat bands, quantized pumps, and higher-order topological insulators for doublons

The authors show that, in the presence of long ranged interactions, the center of mass of bound systems with interactions defines a distinct lattice with respect to the one experienced by noninteracting particles. As a consequence, topological and geometrical effects emerge and the paper explores several scenarios including localization, Berry phases and topological...