Electronic transport and resonances in two random dimer models in one dimension - any relevance to conducting polyaniline?

We have studied the transport in two random dimer models. The site energies are chosen randomly from a binary distribution, one pair at a time and the hopping terms (nearest neighbour only) are chosen to be either (i) a constant, or (ii) perfectly correlated to adjacent random site energies. In the first case, very interesting algebraically decaying resonance clusters appear around the two site energies, and when the Fermi energy is close to one of these energies transport seems to be metallic for very long but finite chains. In the correlated random dimer model on the other hand, search for any such energy domain fails, in contrast to some recent claims that correlation between diagonal and off-diagonal disorders in one dimension gives rise to unusually broad resonances around some special energies. Possible relevance to the highly enhanced electrical conductivity in protonated polyaniline is discussed.