Electronic spectrum of the three-dimensional quasi crystal

Dmitri Olenev; Eyvaz Isaev; Pavel Slobodianiuk; Yuri Vekilov

doi:10.1117/12.347406

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5 May 1999 Electronic spectrum of the three-dimensional quasi crystal

Dmitri Olenev, Eyvaz Isaev, Pavel Slobodianiuk, Yuri Vekilov

Proceedings Volume 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (1999) https://doi.org/10.1117/12.347406
Event: International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1998, St. Petersburg, Russian Federation

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.

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Dmitri Olenev, Eyvaz Isaev, Pavel Slobodianiuk, and Yuri Vekilov "Electronic spectrum of the three-dimensional quasi crystal", Proc. SPIE 3687, International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (5 May 1999); https://doi.org/10.1117/12.347406

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