https://doi.org/10.1140/epjb/e2005-00298-8
Splitting rules for the electronic energy spectra of 2D FC(n) with three kinds of atoms and one bond length
Institute of Laser Life Science, South China Normal
University, Guangzhou 510631, P.R. China
Corresponding author: a xbyang@scnu.edu.cn
Received:
25
October
2004
Revised:
25
June
2005
Published online:
21
September
2005
In this paper we study the
splitting rules of energy spectra for two-dimensional
Fibonacci-class quasilattices (FC(n)) with three kinds of atoms
(A, B, and C) and one bond length by means of a
decomposition-decimation method, and find that the sublattices of
B atoms and C atoms are different from those of normal
two-dimensional FC(n) and the corresponding splitting manners
are new and interesting. B atom forms a kind of two-dimensional
so-called FC(n)', which structure is some different from that of
normal FC(
) (
), but the spectra lines are as the
same as that of the latter. C atom forms two kinds of
interesting one-dimensional periodic chains: n-atom chain and
-atom chain, which spectra will both tend to become
continuous, respectively. The analytical results are confirmed by
numerical simulations.
PACS: 71.23.Ft – Quasicrystals / 63.90.+t – Other topics in lattice dynamics / 33.70.Jg – Line and band widths, shapes, and shifts
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
