Random dimer model in pseudo two-dimensional lattices
Abstract
In this work, we study long-time wave transport in correlated and uncorrelated disordered 2D arrays. When a separation of dimensions is applied to the model, we find that the predicted 1D random dimer phenomenology also appears in so-called pseudo-2D arrays. Therefore, a threshold behavior is observed in terms of the effective size for eigenmodes, as well as in long-time dynam- ics. For this threshold behavior to be observed a minimum system size is required, what is very important when considering a possible experimental realization. For the long-time evolution, we find that for short-range correlated lattices a super-diffusive long-range transport is observed, while for completely uncorrelated disorder in 2D transport becomes sub-diffusive within the localization length and random binary pseudo-2D arrays show localization.
Cite
@article{arxiv.1409.7592,
title = {Random dimer model in pseudo two-dimensional lattices},
author = {Uta Naether and Cristian Mejía-Cortés and Rodrigo A. Vicencio},
journal= {arXiv preprint arXiv:1409.7592},
year = {2015}
}
Comments
5 pages, 3 figures, submitted for publication