Quantum diffusion and lack of universal one-parameter scaling in one-dimensional disordered lattices with long-range coupling

It is generally believed that all eigenstates in one-dimensional disordered lattices are localized provided disorder is uncorrelated. We show that this statement fails for a one-dimensional Anderson model with a special type of long-range inter-site interaction, resulting in a specific, nonparabolic quasi-panicle energy dispersion. Remarkably, the states appearing to be delocalized belong to the tail of the band.