Superdiffusive Conduction: AC Conductivity with Correlated Noise
  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. 
Fernando A. Oliveira, Rafael Morgado, Alex Hansen and J. M. Rubi