Energy spectra of quasiperiodic systems via information entropy

Details Energy spectra of quasiperiodic systems via information entropy Energy spectra of quasiperiodic systems via information entropy

1994-06-16

arxiv.org/abs/cond-mat/9406070v1

Physics

Condensed Matter

REVTeX 3.0, 8 pages, 3 figures available on request from FD-A (fimat02@emducms1.sis.ucm.es), Phys Rev E submitted, MA/UC3M/02/

Scientific paper

10.1103/PhysRevE.50.R679

We study the relationship between the electronic spectrum structure and the configurational order of one-dimensional quasiperiodic systems. We take the Fibonacci case as an 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 {\em minimization} of the information entropy as a characteristic feature associated to 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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