Ballistic Localization in Quasi-1D Waveguides with Rough Surfaces
Abstract
Structure of eigenstates in a periodic quasi-1D waveguide with a rough surface is studied both analytically and numerically. We have found a large number of "regular" eigenstates for any high energy. They result in a very slow convergence to the classical limit in which the eigenstates are expected to be completely ergodic. As a consequence, localization properties of eigenstates originated from unperturbed transverse channels with low indexes, are strongly localized (delocalized) in the momentum (coordinate) representation. These eigenstates were found to have a quite unexpeted form that manifests a kind of "repulsion" from the rough surface. Our results indicate that standard statistical approaches for ballistic localization in such waveguides seem to be unappropriate.
Cite
@article{arxiv.cond-mat/0306049,
title = {Ballistic Localization in Quasi-1D Waveguides with Rough Surfaces},
author = {F. M. Izrailev and J. A. Méndez-Bermúdez and G. A. Luna-Acosta},
journal= {arXiv preprint arXiv:cond-mat/0306049},
year = {2009}
}
Comments
5 pages, 4 figures