Speaker
Description
Flat bands are dispersionless energy bands in tight-binding networks.
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 will start with a overview of flat bands, and then discuss how flatbands can be constructed in various tight-binding settings, what are their properties and how their properties change in presence of perturbations, like 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.
