Wave transport in one-dimensional disordered systems with finite-width potential steps
Disordered Systems and Neural Networks
2014-10-03 v5
Abstract
An amazingly simple model of correlated disorder is a one-dimensional chain of n potential steps with a fixed width lc and random heights. A theoretical analysis of the average transmission coefficient and Landauer resistance as functions of n and klc predicts two distinct regimes of behavior, one marked by extreme sensitivity and the other associated with exponential behavior of the resistance. The sensitivity arises in n and klc for klc approximately pi, where the system is nearly transparent. Numerical simulations match the predictions well, and they suggest a strong motivation for experimental study.
Cite
@article{arxiv.1107.4991,
title = {Wave transport in one-dimensional disordered systems with finite-width potential steps},
author = {Marlos Díaz and Pier A. Mello and M. Yépez and Steven Tomsovic},
journal= {arXiv preprint arXiv:1107.4991},
year = {2014}
}
Comments
A6 pages. 5 figures. Accepted in EPL