Electronic Structure of Generalized Fibonacci Lattices. I. Invariant, Quasi-Invariant and Cyclic Orbits

Masahiro Inoue, Tadashi Takemori, Hiroshi Miyazaki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Dynamical trace-map of the tight-binding model is investigated by generalizing the stacking rule of the Fibonacci lattice. The recurrence relation is defined by D(n + l) =D(n)pD(n-1)q for positive integers p and q, where D(n) is the atomic sequence of the n-th generation. The structure of the dynamical trace-map is analyzed in terms of the invariant and the quasi-invariant of the map. Characteristic features of the wave function, local density of states and the average density of states are analyzed.

Original languageEnglish
Pages (from-to)3460-3474
Number of pages15
Journaljournal of the physical society of japan
Volume60
Issue number10
DOIs
Publication statusPublished - 1991 Jan 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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