Fractal Property of Band Branching in Fibonacci Mesoscopic Rings
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概要
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We present the branching rules of the energy spectrum for a one-dimensional Fibonacci array of AB rings with an arbitrary generation based on the band map diagram. A band edge equation with the recursive scheme is used in calculating the band map to avoid numerical instability. We find that the energy spectrum for the Fibonacci AB rings with an arbitrary generation can be divided to several regions, each of which has a similar pattern. As the generation order is greater than two, the characteristics of the subbands branching in each region, including the zero transmission lines, the enveloped group bands, the major subgaps, convergence of the group bands and major subgaps for a higher generation, and number of splitting subbands in each group band for an arbitrary generation, have been proposed in the study. Moreover, electron localization in the major subgaps of the Fibonacci rings is demonstrated by the transmission spectra.
- 2010-06-15
著者
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Hsueh Wen-jeng
Department Of Naval Architecture And Ocean Engineering National Taiwan University
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Wu Chih-Wei
Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung, Taiwan 202, R.O.C.
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Wen-Jeng Hsueh
Department of Engineering Science, National Taiwan University, 1, Sec. 4, Roosevelt Road, Taipei 10660, Taiwan
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Qiu Ren-Zheng
Department of Engineering Science, National Taiwan University, 1, Sec. 4, Roosevelt Road, Taipei 10660, Taiwan
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