Scaling and universality of AC conduction in disordered solids

TL;DR

This paper discusses recent universal scaling results for AC conductivity in disordered solids, introduces a new analytical approximation called the diffusion cluster approximation, and demonstrates its agreement with simulations and experiments.

Contribution

It presents a general scaling framework for AC conductivity in disordered solids and introduces the diffusion cluster approximation as a new analytical tool.

Findings

Sidebottom's scaling is fully general

The diffusion cluster approximation matches experimental data

Universal AC conductivity behavior is confirmed

Abstract

Recent scaling results for the AC conductivity of ionic glasses by Roling et al. [Phys. Rev. Lett. vol 78, 2160 (1997)] and Sidebottom [Phys. Rev. Lett. vol 82, 3653 (1999)] are discussed. It is shown that Sidebottom's version of scaling is completely general. A new analytical approximation to the universal AC conductivity of hopping in the extreme disorder limit, the ``diffusion cluster approximation,'' is presented and compared to simulations and experiments.