Universalities in one-electron properties of limit quasiperiodic lattices

Rihei Endou, Komajiro Niizeki, Nobuhisa Fujita

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number13
Publication statusPublished - 2004 Apr 2


Dive into the research topics of 'Universalities in one-electron properties of limit quasiperiodic lattices'. Together they form a unique fingerprint.

Cite this