Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
It is shown that a non-periodic Kronig-Penney model exhibits mobility edges if the positions of the scatterers are correlated at long distances. An analytical expression for the energy-dependent localization length is derived for weak disorder in terms of the real-space correlators defining the structural disorder in these systems. We also present an algorithm to construct a non-periodic but correlated sequence exhibiting desired mobility edges. This result could be used to construct window filters in electronic, acoustic, or photonic non-periodic structures.
Cite
@article{arxiv.cond-mat/0008195,
title = {Mobility Edge in Aperiodic Kronig-Penney Potentials with Correlated Disorder: Perturbative Approach},
author = {F. M. Izrailev and A. A. Krokhin and S. E. Ulloa},
journal= {arXiv preprint arXiv:cond-mat/0008195},
year = {2009}
}
Comments
RevTex, 4 pages including 2 Postscript figures