On the frequency and temperature dependence of the conductivity

TL;DR

This paper investigates how the electrical conductivity of disordered solids varies with frequency and temperature, applying models to different materials and showing good agreement with experimental data.

Contribution

It introduces a model for conductivity dependence on frequency and temperature in disordered solids, validated across multiple materials and impurity concentrations.

Findings

Conductivity varies with frequency and temperature in disordered solids.

Model predictions align well with experimental results.

Different materials exhibit distinct dependence patterns.

Abstract

We obtain the frequency and temperature dependence of the conductivity for (disordered) solids, where the temperature dependence is defined in terms of the related thermodynamic state function in exponential (or power law, etc.) forms. The model is applied to n-type Si with various donor and acceptor impurities and several concentrations at T about 0 Kelvin and sodium borate glasses and mixed alkalis with various compositions (x) in all at T about 500 Kelvin. The results are found in good agreement with experiments.