Abstract
A tight-binding model in one dimension with an incommensurate potential is investigated. It is found that at the critical point of the localization transition , there is a finite range of scaling indices each of which is associated with a fractal dimension . In the extended region , scaling is "trivial" with a single index almost everywhere in the spectrum, while in the localized region , there is no scaling.
- Received 5 May 1986
DOI:https://doi.org/10.1103/PhysRevB.34.2041
©1986 American Physical Society