  We present evidence of the existence of a superdiffusive regime in systems
with correlated disorder for which localization is suppressed. An expression
for anomalous electrical conductivity at low frequencies is found by using a
generalized Langevin equation whose memory function accounts for the
interactions between the carriers. New mechanisms inducing a superdiffusive
conductivity are discussed and experimental possibilities for observing that
phenomenon in nanotubes and superlattices are presented.
