Abstract
Novel behavior of the one-dimensional incommensurate Schrödinger equation when the potential is derived from a Kolmogorov-Arnol'd-Moser torus is found by exploitation of univeral scaling properties. Our numerical investigation reveals in particular that nearly torus-breaking electronic states undergo series of back-and-forth localization transitions in sensitive dependence on the potential strength.
- Received 20 November 1984
DOI:https://doi.org/10.1103/PhysRevLett.54.588
©1985 American Physical Society
