Dimers, Repulsions, and the Absence of Localisation

We review here two models we have recently proposed which do not conform to the standard view that disorder precludes long range transport in 1-dimension. The two models we consider are the repulsive binary alloy and the random dimer model. We show that the mean-square displacement of an initially-localised particle in either of these models will grow in time as t3/2. Transport obtains in both models because √N of the electronic states are unscattered by the disorder. The relevance of these models to the conductivity of Fibonacci semiconductor lattices and polyaniline is discussed.