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

Masahiro Inoue; Tadashi Takemori; Hiroshi Miyazaki

doi:10.1143/JPSJ.61.969

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

Masahiro Inoue, Tadashi Takemori, Hiroshi Miyazaki

ENG - Applied Physics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	969-974
Number of pages	6
Journal	journal of the physical society of japan
Volume	61
Issue number	3
DOIs	https://doi.org/10.1143/JPSJ.61.969
Publication status	Published - 1992 Mar

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.61.969

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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.",

author = "Masahiro Inoue and Tadashi Takemori and Hiroshi Miyazaki",

year = "1992",

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T1 - Electronic Structure of Generalized Fibonacci Lattices. II. The Energy Spectrum and the Stability Analysis

AU - Inoue, Masahiro

AU - Takemori, Tadashi

AU - Miyazaki, Hiroshi

PY - 1992/3

Y1 - 1992/3

N2 - 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.

AB - 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.

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JO - Journal of the Physical Society of Japan

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ER -

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

Abstract

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