The absence of localization in certain statically disordered solids

We present statically disordered electronic system in which under certain circumstances an initially localized particle necessarily becomes delocalized at long times regardless of the spatial dimension and the magnitude of the disorder. The model is based on correlations between diagonal and off-diagonal matrix elements and is shown to be applicable to structurally-induced disorder in solids. Numerical and analytical calculations in 1-dimension indicate that transport is superdiffusive with the mean-square displacement growing in the time as 3 2, regardless of the magnitude of the disorder.