Abstract
Electronic eigenfunctions are studied on the tight-binding model of disordered systems at dimensionalities . It is found that the eigenfunctions have a self-similar (fractal) behavior up to length scales roughly equal to the localization length. For , above the mobility edge, the fractal character persists up to length scales about equal to the correlation length . The dependence of the fractal dimensionality on disorder is presented. The fractal character of the wave function is suggested as a new method for finding mobility edges.
- Received 21 November 1983
DOI:https://doi.org/10.1103/PhysRevLett.52.565
©1984 American Physical Society