Physical nature of critical wave functions in Fibonacci systems
Condensed Matter
2009-10-28 v1
Abstract
We report on a new class of critical states in the energy spectrum of general Fibonacci systems. By introducing a transfer matrix renormalization technique, we prove that the charge distribution of these states spreads over the whole system, showing transport properties characteristic of electronic extended states. Our analytical method is a first step to find out the link between the spatial structure of these critical wave functions and the quasiperiodic order of the underlying lattice.
Keywords
Cite
@article{arxiv.cond-mat/9507100,
title = {Physical nature of critical wave functions in Fibonacci systems},
author = {Enrique Macia and Francisco Dominguez-Adame},
journal= {arXiv preprint arXiv:cond-mat/9507100},
year = {2009}
}
Comments
REVTEX 3.0, 11 pages, 2 figures available upon request. To appear in Phys. Rev. Lett