Precise asymptotics for a variable-range hopping model
Disordered Systems and Neural Networks
2009-11-13 v1
Abstract
For a system of localised electron states the DC conductivity vanishes at zero temperature, but localised electrons can conduct at finite temperature. Mott gave a theory for the low-temperature conductivity in terms of a variable-range hopping model, which is hard to analyse. Here we give precise asymptotic results for a modified variable-range hopping model proposed by S. Alexander [Phys. Rev. B 26, 2956 (1982)].
Keywords
Cite
@article{arxiv.cond-mat/0703018,
title = {Precise asymptotics for a variable-range hopping model},
author = {B. Mehlig and M. Wilkinson},
journal= {arXiv preprint arXiv:cond-mat/0703018},
year = {2009}
}
Comments
7 pages, 2 figures