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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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