Resonant Anderson localization in segmented wires
Mesoscale and Nanoscale Physics
2016-03-09 v1 Disordered Systems and Neural Networks
Abstract
We discuss a model of random segmented wire, with linear segments of 2D wires joined by circular bends. The joining vertices act as scatterers on the propagating electron waves. The model leads to resonant Anderson localization when all segments are of similar length. The resonant behavior is present with one and also with several propagating modes. The probability distributions evolve from diffusive to localized regimes when increasing the number of segments in a similar way for long and short localization lengths. As a function of the energy a finite segmented wire typically evolves from localized to diffusive to ballistic behavior in each conductance plateau.
Cite
@article{arxiv.1512.00680,
title = {Resonant Anderson localization in segmented wires},
author = {Cristian Estarellas and Llorenç Serra},
journal= {arXiv preprint arXiv:1512.00680},
year = {2016}
}
Comments
7 pages, 6 figures