Universal scaling form of AC response in variable range hopping

TL;DR

This paper investigates the AC electrical response in variable range hopping systems using simulations, revealing a universal scaling law for conductivity and analyzing the network structure across frequencies.

Contribution

It introduces a universal scaling law for AC conductivity in variable range hopping and compares numerical results with theoretical models.

Findings

Conductivity follows a universal scaling law with frequency.

Numerical results align with theoretical predictions.

The conducting network structure varies with frequency.

Abstract

We have studied the AC response of a hopping model in the variable range hopping regime by dynamical Monte Carlo simulations. We find that the conductivity as function of frequency follows a universal scaling law. We also compare the numerical results to various theoretical predictions. Finally, we study the form of the conducting network as function of frequency.