Dielectric susceptibility of the Coulomb-glass

TL;DR

This paper derives a microscopic expression for the dielectric susceptibility of a Coulomb glass, linking it to polarization fluctuations, and numerically explores its temperature and frequency dependence.

Contribution

It introduces a new microscopic formula for dielectric susceptibility in Coulomb glasses and applies it to numerical calculations across various conditions.

Findings

Dielectric susceptibility depends on temperature and frequency.

Numerical results reveal the behavior of Coulomb glasses under different conditions.

The derived expression aligns with classical electrodynamics principles.

Abstract

We derive a microscopic expression for the dielectric susceptibility $\chi$ of a Coulomb glass, which corresponds to the definition used in classical electrodynamics, the derivative of the polarization with respect to the electric field. The fluctuation-dissipation theorem tells us that $\chi$ is a function of the thermal fluctuations of the dipole moment of the system. We calculate $\chi$ numerically for three-dimensional Coulomb glasses as a function of temperature and frequency.