CHARACTERISTIC FEATURES OF THE ENERGY-SPECTRUM OF ICOSAHEDRAL QUASI-CRYSTALS

Citation
Dv. Olenev et Yk. Vekilov, CHARACTERISTIC FEATURES OF THE ENERGY-SPECTRUM OF ICOSAHEDRAL QUASI-CRYSTALS, JETP letters, 63(2), 1996, pp. 113-118
Citations number
14
Categorie Soggetti
Physics
Journal title
ISSN journal
00213640
Volume
63
Issue
2
Year of publication
1996
Pages
113 - 118
Database
ISI
SICI code
0021-3640(1996)63:2<113:CFOTEO>2.0.ZU;2-R
Abstract
The character of the energy spectrum of an icosahedral quasicrystal is investigated in the tight-binding approximation. It is found that the spectrum does not contain the hierarchical gap structure characterist ic for a Canter set. Investigation of the smoothness of the energy spe ctrum by the method of level statistics showed that the spectrum conta ins a singular part. Suggestions are made concerning the form of the w ave functions. (C) 1996 American Institute of Physics.