Localization length enhancement in two-dimensional self-assembled systems

Disorder correlations lead to important effects on the localization of states in one-dimensional systems, as shown for a large number of correlation models in the context of polymers and macromolecules. The extension of the problem to two-dimensional systems has been less frequently discussed due to the lack, until recently, of realistic systems with properties that could be addressed to the effects of correlations in disorder. The advent of self-assembled quantum dots, which may show short-range ordering, has changed this scenario. In the present work we investigate the properties of a two-dimensional disordered lattice with short-range correlations in the disorder that reveals itself as a minimal model for self-assembled quantum dots. The short-range correlations in disorder may lead to significant enhancement of the localization length for wide energy windows.