Localization parameters for two interacting particles in disordered two-dimensional lattices

Abstract

In two dimensional disordered lattices, presence of interaction makes particles less localized than the non-interacting ones within the range of disorder strength $W\le 4$ and interaction strength $V\le 4$. If the interaction strength is higher, then particles localize more. Although, a localization- delocalization transition is not found, a transition with changes in the dominant correlations is observed. The nature of correlations between the particles as nearest neighbors become dominant beyond certain disorder strengths.