Universalities in one-electron properties of limit quasiperiodic lattices

Rihei Endou, Komajiro Niizeki, Nobuhisa Fujita

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We investigate one-electron properties of one-dimensional self-similar structures called limit quasiperiodic lattices. The trace map of such a lattice is nonconservative in contrast to the quasiperiodic case, and we can determine the structure of its attractor. It allows us to obtain the three new features of the present system: (1) The multi-fractal characters of the energy spectra are universal. (2) The supports of the f (α)-spectra extend over the whole unit interval, [0, 1]. (3) There exist marginal critical states.

Original languageEnglish
Pages (from-to)L151-L156
JournalJournal of Physics A: Mathematical and General
Volume37
Issue number13
DOIs
Publication statusPublished - 2004 Apr 2
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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