The prefactor for screened Mott hopping

TL;DR

This paper explains the crossover in hopping conductivity regimes, showing the prefactor varies exponentially with localization length in screened Mott hopping, aligning with experimental data, and confirms the theoretical value of the ES prefactor.

Contribution

It provides a universal curve for the crossover from ES to screened Mott hopping and clarifies the behavior of the prefactor in these regimes.

Findings

Prefactor in screened Mott hopping varies exponentially with inverse localization length.

Constant C for ES hopping matches theoretical value of 6.2.

Universal curve explains discrepancy in hopping conductivity prefactors.

Abstract

The universal curve for the crossover from ES to screened Mott hopping is used to explain a reported discrepancy between the hopping conductivity prefactors in the two regimes. The prefactor in the screened Mott hopping regime is shown to vary exponentially with the inverse of the localization length in good agreement with recent experimental results. The constant C associated with ES hopping is shown to be equal to its theoretical value of 6.2.