Electronic Structure of Generalized Fibonacci Lattices. II. The Energy Spectrum and the Stability Analysis

Masahiro Inoue, Tadashi Takemori, Hiroshi Miyazaki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We have investigated the criterion for the trace-map trajectories to fall onto the quasi-invariant surface for the generalized Fibonacci lattice defined by the recurrence relation D(n + 1)=D(n)pD(n - 1)q with positive integers p and q (q+1). It is shown that, at infinite generation, the energies corresponding to the quasi-invariant surface constitute a dense subset of the energy spectrum.

Original languageEnglish
Pages (from-to)969-974
Number of pages6
Journaljournal of the physical society of japan
Volume61
Issue number3
DOIs
Publication statusPublished - 1992 Mar

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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