The electronic spectrum of a three-dimensional quasicrystal |
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Authors: | D V Olenev E I Isaev P V Slobodianiuk Yu Kh Vekilov |
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Institution: | (1) Theoretical Physics Department, Moscow State Institute of Steel and Alloys, 117936 Moscow, Russia |
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Abstract: | The electronic spectrum of an icosahedral quasicrystal with a central-atom decoration of the Amman-Mackay network is investigated
in the tight-binding approximation. The 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 the hierarchical
gap structure which is typical for the Cantor set of the spectrum of a one-dimensional quasicrystal. At the same time, as
the order of the approximant increases, the spectrum becomes singular throughout the entire energy scale.
Pis’ma Zh. éksp. Teor. Fiz. 67, No. 8, 557–562 (25 April 1998)
Published in English in the original Russian journal. Edited by Steve Torstveit. |
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