Numerical studies of variable-range hopping in one-dimensional systems
Disordered Systems and Neural Networks
2009-10-16 v2
Abstract
Hopping transport in a one-dimensional system is studied numerically. A fast algorithm is devised to find the lowest-resistance path at arbitrary electric field. Probability distribution functions of individual resistances on the path and the net resistance are calculated and fitted to compact analytic formulas. Qualitative differences between statistics of resistance fluctuations in Ohmic and non-Ohmic regimes are elucidated. The results are compared with prior theoretical and experimental work on the subject.
Cite
@article{arxiv.0909.0320,
title = {Numerical studies of variable-range hopping in one-dimensional systems},
author = {A. S. Rodin and M. M. Fogler},
journal= {arXiv preprint arXiv:0909.0320},
year = {2009}
}
Comments
12 pages, 12 figures. Published version