Anomalous Diffusion Properties of Wave Packets on Quasiperiodic Chains
- 3 June 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 76 (23) , 4372-4375
- https://doi.org/10.1103/physrevlett.76.4372
Abstract
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.Keywords
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