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Electronic properties of ternary quasicrystals in one dimension

Nobuhisa Fujita·Komajiro Niizeki
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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.

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Nobuhisa Fujita, Komajiro Niizeki. 2001-08-02. Electronic properties of ternary quasicrystals in one dimension. https://doi.org/10.1103/physrevb.64.144207

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