One- and two-particle problem with correlated disorder potential

Motivated by the recent experimental and theoretical progresses in exploration of effect disorder interacting system, we examine two types correlated disorder, quasi-periodic potential speckle potential, on one- two-particle problem with exact diagonalization (ED) method. We give phase diagram for single particle presence also analyse strong interaction ground state dimensions. For case, both correlation length strength energy binding energy. The transport property different under is calculated discussed at last.