Localization Phenomena in Interacting Flatland Systems

Explore localization phenomena in interacting flatland systems through this 29-minute lecture by Carlo Denieli from PCS Institute for Basic Science. Delve into the intricacies of linear wave equations on translationally invariant flatband networks, examining their Bloch spectrum and compact localized eigenstates (CLS). Investigate how flatbands and CLS respond to perturbations like disorder and interaction, with a focus on the impact of network choice. Discover diverse localization features emerging from finetuning protocols applied to network geometry and interaction terms in both classical nonlinear and quantum many-body interactions. Learn about the existence of exact spatially compact solutions in flatband lattices and the potential for complete suppression of transport in lattices lacking dispersion. Gain insights into the fascinating world of flatband physics and its implications for wave dynamics in complex systems.