Splitting rules for the 2nd hierarchy structure of the electronic spectra of 2D FC(n) quasicrystals
Institute of Laser Life Science, South China Normal
University, Guangzhou 510631, P.R. China
Corresponding author: a firstname.lastname@example.org
Published online: 23 July 2004
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 and clusters of FC(n) splits according to the type and type respectively. The one for 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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004