Publication: Energy spectra of quasi periodic systems via information entropy
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ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
Publication date
1994-08
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American Physical Society
Abstract
We study the relationship between the electronic spectrum structure and the configurational order of onedimensional
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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Bibliographic citation
Physical Review E, vol. 50, n. 2, august 1994. Pp. R679–R682