Self-Similarity and Localization
Condensed Matter
2009-10-28 v1 chao-dyn
Chaotic Dynamics
Abstract
The localized eigenstates of the Harper equation exhibit universal self-similar fluctuations once the exponentially decaying part of a wave function is factorized out. For a fixed quantum state, we show that the whole localized phase is characterized by a single strong coupling fixed point of the renormalization equations. This fixed point also describes the generalized Harper model with next nearest neighbor interaction below a certain threshold. Above the threshold, the fluctuations in the generalized Harper model are described by a strange invariant set of the renormalization equations.
Cite
@article{arxiv.cond-mat/9505072,
title = {Self-Similarity and Localization},
author = {Jukka A. Ketoja and Indubala I. Satija},
journal= {arXiv preprint arXiv:cond-mat/9505072},
year = {2009}
}
Comments
4 pages, RevTeX, 2 figures included