Superdiffusive Conduction: AC Conductivity with Correlated Noise

TL;DR

This paper investigates superdiffusive electrical conduction in systems with correlated disorder, deriving an expression for anomalous AC conductivity and discussing experimental observation possibilities in nanostructures.

Contribution

It introduces a generalized Langevin equation approach to model superdiffusive conduction and identifies new mechanisms for this phenomenon.

Findings

Superdiffusive regime exists in correlated disordered systems.

Derived an expression for low-frequency anomalous conductivity.

Discussed experimental setups in nanotubes and superlattices.

Abstract

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.