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 characteristic for a Cantor set. Investigation of the smoothness of the energy spectrum by the method of level statistics showed that the spectrum contains a singular part. Suggestions are made concerning the form of the wave functions.
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Pis’ma Zh. Éksp. Teor. Fiz. 63, No. 2, 101–105 (25 January 1996)
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Olenev, D.V., Vekilov, Y.K. Characteristic features of the energy spectrum of icosahedral quasicrystals. Jetp Lett. 63, 113–118 (1996). https://doi.org/10.1134/1.566988
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DOI: https://doi.org/10.1134/1.566988