Global energy spectra of bands and density of states in a class of two-tile systems |
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| Authors: | X H Yan J R Yan J Q You Y P Mei |
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| Institution: | (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 |
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| 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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| Keywords: | 71 25 Cx 61 42 +h 71 25 -s |
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