Anderson localization in 2D using point-like disorder

Anderson localization is a general phenomenon that has been seen in a variety of media, and particularly in ultracold atomic gases with speckle disorder in one and three dimensions. However, observation of localization in a two-dimensional geometry has been elusive. We show that a major cause of this difficulty is the relatively high percolation threshold of a speckle potential in 2D, resulting in strong classical localization, and propose instead a point-like disorder that can avoid this percolation limit. Required disorder strength in this potential is examined, going beyond the weak-scattering approximation, and realistic experimental setups that could observe this localization are discussed.