Abstract
We study the distributions of the resonance widths and of delay times in one-dimensional quasiperiodic tight-binding systems at critical conditions with one open channel. Both quantities are found to decay algebraically as and on small and large scales, respectively. The exponents and are related to the fractal dimension of the spectrum of the closed system as and . Our results are verified for the Harper model at the metal-insulator transition and for Fibonacci lattices.
- Received 6 July 2000
DOI:https://doi.org/10.1103/PhysRevLett.85.4426
©2000 American Physical Society