Nonlinear interaction effect on the phase distribution in one-dimensional disordered lattices

We studied in this paper the effect of nonlinear interaction on the PD of a one-dimensional Kronig-Penney chain. In the quasi-ballistic regime (L much less than (2k(F))(-1) much less than lambda (localization length)), an att ractive nonlinear potential leads to a smooth peak with an oscillatory shif t in its position, while for repulsive potentials the peak becomes sharper and moves towards pi. In the quasi-metallic regime((2k(F))(-1) much less th an L much less than lambda), the uniform PD becomes peaked as we increase t he nonlinear potential. Depending on the sign of the nonlinear potential, t his peak moves either away from or closer to pi. In the strong disorder reg ime, the nonlinearity plays an identical role to disorder. It was found tha t the overall effect of nonlinear interaction in the mixed disorder case ca n be interpreted as a superposition of those for potential barriers and wel ls treated separately. Further results and discussion are also provided.