Electronic properties of ternary quasicrystals in one dimension

Nobuhisa Fujita, Komajiro Niizeki1

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The one-electron properties of a certain class of one-dimensional ternary quasicrystals (QC’s) are investigated. In particular, we show in detail the presence of a special kind of critical states called marginal critical states in these QC’s. 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.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
Publication statusPublished - 2001


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