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Global energy spectra of bands and density of states in a class of two-tile systems
Authors:X. H. Yan  J. R. Yan  J. Q. You  Y. P. Mei
Affiliation:(1) China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, 100080 Beijing, People's Republic of China;(2) Institute of Modern Physics and Department of Physics, Xiangtan University, 411105 Xiangtan, People's Republic of China;(3) Laboratory of Atomic Imaging of Solids, Institute of Metal Research, Academia Sinica, 72 Wenhua Road, 110015 Shengyang, People's Republic of China
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}rarr{Am11Bm12,Am21Bm22} and {A, B}rarr{An11Bn12,Bn21An22}, 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.
Keywords:71.25.Cx  61.42.+h  71.25.-s
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