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Energy-spectra of quasi-periodic systems via information entropy

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Maciá Barber, Enrique Alfonso and Domínguez-Adame Acosta, Francisco and Sánchez, Angel (1994) Energy-spectra of quasi-periodic systems via information entropy. Physical Review E, 50 (2A). R679-R682. ISSN 1063-651X

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Official URL: http://dx.doi.org/10.1103/PhysRevE.50.R679


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Abstract

We study the relationship between the electronic spectrum structure and the configurational order of one-dimensional quasiperiodic systems. We take the Fibonacci case as a specific example, but the ideas outlined here may be useful to accurately describe the energy spectra of general quasiperiodic systems of technological interest. Our main result concerns the minimization of the information entropy as a characteristic feature associated with quasiperiodic arrangements. This feature is shown to be related to the ability of quasiperiodic systems to encode more information, in the Shannon sense, than periodic ones. In the conclusion we comment on interesting implications of these results on further developments on the issue of quasiperiodic order.


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Additional Information:

© 1994 The American Physical Society.
This work is partially supported by UCM under Project No. PR161/93-4811. A.S. is partially supported by DGICyT (Spain) through Project No. PB92-0248, and by the European Union Human Capital and Mobility Programme through Contract No. ERBCHRXCT930413. We thank M. V. Hernandez for a critical reading of the manuscript.

Uncontrolled Keywords:Superlattices, Phyllotaxis, Lattices, Alloys
Subjects:Sciences > Physics > Materials
ID Code:28104
Deposited On:29 Jan 2015 09:57
Last Modified:18 Mar 2015 08:40

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