English

Electronic properties of ternary quasicrystals in one dimension

Materials Science 2009-11-07 v3

Abstract

The one-electron properties of a certain class of one-dimensional ternary quasicrystals are investigated. In particular, we show in detail the presence of a special kind of critical states called marginal critical states in these QCs. By the use of a real-space renormalization-group method, it is shown that the scaling properties of marginal critical states are characterized by stretched exponentials. These states are virtually localized, so that their presence may make a QC less conductive.

Keywords

Cite

@article{arxiv.cond-mat/0101347,
  title  = {Electronic properties of ternary quasicrystals in one dimension},
  author = {Nobuhisa Fujita and Komajiro Niizeki},
  journal= {arXiv preprint arXiv:cond-mat/0101347},
  year   = {2009}
}

Comments

19 pages, 9 figures, 2 tables, uses REVTeX. (V3) Title, abstract, and introduction have been modified. To appear in Phys. Rev. B