Speaker
Description
Model Hamiltonians with quasicrystalline order display a hierarchy of phenomena at different scales and are excellent starting points to explore unconventional effects not achievable in conventional periodic solids. In this talk, I will present a theoretical study of the model that interpolates between two well-known quasiperiodic examples: Aubry-André and Fibonacci model. In particular, I will show the analysis of the localization properties of this model. We find that by controllably evolving an Aubry-André into a Fibonacci model, a series of localization-delocalization transitions take? place before the spectrum becomes critical. Our findings provide new insights about the forming of criticality in quasiperiodic systems and open up new avenues to study the interplay among quasiperiodicity, topology, and interactions.
