Generalized Fibonacci lattice dynamical trace map, invariant and quasi-invariant

M. Inoue, T. Takemori, H. Miyazaki

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Dynamical trace map of the tight-binding model is investigated for the generalized Fibonacci lattice characterized by the stacking rule S(n+1)=S(n)pS(n-1)q with p,q integers, where S(n) is the atomic sequence of the n-th generation. An expression is found of a quasi-invariant which is valid for any set of (p,q) and also of the invariant of the trace map for q=1 and q=p+1. Average density of states is calculated for p=2, q=1, 2 and 3.

Original languageEnglish
Pages (from-to)751-755
Number of pages5
JournalSolid State Communications
Issue number10
Publication statusPublished - 1991 Mar

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry


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