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Absence of Localization in One-Dimensional Lattice with Off-Diagonal Nonlinearity Disorder

The time evolution of an initially localized mode in a one-dimensional lattice with off-diagonal nonlinearity disorder is studied by solving a modified nonlinear Schrödinger equation. Absence of localization is found when the nonlinearity parameter is beyond the self-trapping region for corresponding periodic lattice. The propagation of electrons shows ballistic behavior even in the presence of disorder. When self-trapping occurs, the untrapped portion still escapes ballistically.