Fractal structure of spectra in one-dimensional incommensurate systems
Author:
- 20 December 1987
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 20 (35) , 5999-6012
Abstract
The fractal structure of energy spectra is one important property due to self-similarity in incommensurate systems. A fractal splitting rule was reported by Xu (1986) for the one-dimensional Aubry model. The extension of this rule to other more complicated models for one-dimensional incommensurate systems, and even to the on-site Fibonacci quasi-lattice, is studied. The results show that the fractal splitting rule found in the Aubry model may have a much wider range of applicability.Keywords
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