Title: Flatbands: construction and effects of perturbations
Abstract: Flatbands are dispersionless single particle bands.
The quenched kinetic energy (due to the absence of dispersion), makes them promising hosts for unconventional and exotic phases of matter in presence of perturbations, like disorder or interactions.
I am going to discuss how flatbands can be constructed in various tight-binding settings and how their properties change in presence of disorder or interactions.
I will discuss in particular, the emergence of non-perturbative metal-insulator transitions and ergodicity breaking: many-body localisation and many-body flatband localisation (with connections to percolation transitions), as well as weak ergodicity breaking.