Splitting rules for the 2nd hierarchy structure of the electronic spectra of 2D FC(n) quasicrystals |
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| Authors: | Feng?Li,Xiangbo?Yang mailto:xbyang@scnu.edu.cn" title=" xbyang@scnu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | (1) Institute of Laser Life Science, South China Normal University, 510631 Guangzhou, P.R. China |
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| Abstract: | ![]()
On the basis of our former work and by means of the decomposition-decimation method, we study the splitting rules for the second hierarchy of the electronic energy spectra for two-dimensional Fibonacci-class quasicrystals with one kind of atom and two bond lengths. It is found that every line of the sub-spectra for n x n and (n + 1) x (n + 1) clusters of FC(n)  splits according to the type Y (n-1)-2-1 and type Y n-2-1 respectively. The one for n x (n + 1) clusters of FC(n) consists of three sub-subbands when  , and five sub-subbranches when  . The general formulae of the number of energy levels for the spectra of the second hierarchy are obtained. The analytical results are confirmed by numerical simulations.Received: 18 March 2004, Published online: 23 July 2004PACS: 71.23.Ft Quasicrystals - 63.90. + t Other topics in lattice dynamics (restricted to new topics in section 63) - 33.70.Jg Line and band widths, shapes, and shifts |
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