(De)Localization in the Prime Schrodinger Operator
Disordered Systems and Neural Networks
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
It is reported a combined numerical approach to study the localization properties of the one-dimensional tight-binding model with potential modulated along the prime numbers. A localization-delocalization transition was found as function of the potential intensity; it is also argued that there are delocalized states for any value of the potential intensity.
Cite
@article{arxiv.cond-mat/0103313,
title = {(De)Localization in the Prime Schrodinger Operator},
author = {Cesar R. de Oliveira and Giancarlo Q. Pellegrino},
journal= {arXiv preprint arXiv:cond-mat/0103313},
year = {2009}
}
Comments
7 pages, 4 figures; to be published in J. Phys. A: Math. Gen