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Global energy spectra of bands and density of states in a class of two-tile systems

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Zeitschrift für Physik B Condensed Matter

Abstract

Electronic properties of a general class of one-dimensional two-tile systems are calculated exactly. The systems containing periodic crystals, generalized Fibonacci quasicrystals, generalized Thue-Morse aperiodic lattices and even other two-tile aperiodic lattices, can be divided into two different families which are constructed by the inflation rules: {A, B}→{A m11 B m12,A m21 B m22} and {A, B}→{A n11 B n12,B n21 A n22}, respectively. As typical examples, global spectra of bands and density of states in some two-tile aperiodic systems are numerically calculated. Some interesting properties are obtained.

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Authors and Affiliations

  1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, 100080, Beijing, People's Republic of China

    X. H. Yan, J. R. Yan & J. Q. You

  2. Institute of Modern Physics and Department of Physics, Xiangtan University, 411105, Xiangtan, People's Republic of China

    X. H. Yan, J. R. Yan, J. Q. You & Y. P. Mei

  3. Laboratory of Atomic Imaging of Solids, Institute of Metal Research, Academia Sinica, 72 Wenhua Road, 110015, Shengyang, People's Republic of China

    X. H. Yan & J. Q. You

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  1. X. H. Yan
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  2. J. R. Yan
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  3. J. Q. You
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  4. Y. P. Mei
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Yan, X.H., Yan, J.R., You, J.Q. et al. Global energy spectra of bands and density of states in a class of two-tile systems. Z. Physik B - Condensed Matter 94, 439–446 (1994). https://doi.org/10.1007/BF01317406

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  • DOI: https://doi.org/10.1007/BF01317406

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