In a perturbative limit, we derive the diffusion properties of initially localized wave packets on the Fibonacci chain. We establish a new relation between generalized diffusion exponents and fractal dimensions of the energy spectrum. We give an argument extending in general to other one dimensional quasiperiodic systems. An illustration is given taking the case of the Harper model.

• Received 20 October 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.4372