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.
|Physical Review B - Condensed Matter and Materials Physics
|Published - 2001