# 1D Mott variable-range hopping with external field

## TL;DR

This paper explores the behavior of one-dimensional Mott variable-range hopping under an external field, highlighting recent theoretical results that extend understanding of electron transport in disordered solids at low temperatures.

## Contribution

It presents new theoretical insights into 1D Mott variable-range hopping influenced by external fields, building on prior work and collaborations.

## Key findings

- Behavior of conductivity at low temperature
- Impact of external field on hopping mechanism
- Recent theoretical results on 1D Mott hopping

## Abstract

Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of this mechanism, recall some results concerning the behavior of the conductivity at low temperature and describe in more detail recent results (obtained in collaboration with N. Gantert and M. Salvi) concerning the one-dimensional Mott variable-range hopping under an external field.