Splitting rules for the electronic energy spectra of 2D FC(n) with three kinds of atoms and one bond length

F. Li and X. Yang ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 47, issue 1, 71-77

Abstract: 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(n-1) (n≥2), 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 (n-1)-atom chain, which spectra will both tend to become continuous, respectively. The analytical results are confirmed by numerical simulations. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2005-00298-8

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