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Proceedings Paper

Electronic spectrum of the three-dimensional quasi crystal
Author(s): Dmitri Olenev; Eyvaz Isaev; Pavel Slobodianiuk; Yuri Vekilov
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Paper Abstract

The electronic spectrum of icosahedral quasicrystal with central atom decoration of Amman-Mackay network is investigated in the tight-binding approximation. Quasicrystal is described as a structural limit of the optimal cubic approximants with increasing period. The electronic spectra for the first four optimal cubic approximants do not contain hierarchical gap structure which is typical for Cantor set of the spectrum of one-dimensional quasicrystal. At the same time the spectrum with increasing the order of approximant becomes singular on the whole energy scales.

Paper Details

Date Published: 5 May 1999
PDF: 3 pages
Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); doi: 10.1117/12.347406
Show Author Affiliations
Dmitri Olenev, Moscow State Institute of Steel and Alloys (Russia)
Eyvaz Isaev, Moscow State Institute of Steel and Alloys (Russia)
Pavel Slobodianiuk, Moscow State Institute of Steel and Alloys (Russia)
Yuri Vekilov, Moscow State Institute of Steel and Alloys (Russia)


Published in SPIE Proceedings Vol. 3687:
International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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