| 广义Fibonacci超晶格的能谱性质—准周期Krnig-Penney模型 |
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| 引用本文： | 颜晓红,颜家壬,游建强,钟建新. 广义Fibonacci超晶格的能谱性质—准周期Krnig-Penney模型[J]. 湘潭大学自然科学学报, 1990, 0(4) |
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| 作者姓名： | 颜晓红 颜家壬 游建强 钟建新 |
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| 作者单位： | 湘潭大学物理系(颜晓红，颜家壬，游建强)，湘潭大学物理系(钟建新) |
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| 摘 要： | 采用准周期Krnig-Penney模型,对广义Fibonacci超晶格的电子态问题进行了研究,发现其能谱具有类似康托集的结构,即能谱具有自相似性质,且能隙在谱中稠密分布。对以S_l块为单元胞的周期性结构,电子能谱具有似块状周期性能级结构。
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| 关 键 词： | Krnig-Penney模型 δ—势 广义Fibonacci序列 康托集 自相似性 |
ENERGY SPECTRA OF THE GENERALIZED FIBONACCI SUPERLATTICES: QUASIPERIODIC KR(?)NIG-PENNEY MODEL |
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| Yan Xiaohong Yan Jiaren You Jianqiang Zhong Jianxing. ENERGY SPECTRA OF THE GENERALIZED FIBONACCI SUPERLATTICES: QUASIPERIODIC KR(?)NIG-PENNEY MODEL[J]. Natural Science Journal of Xiangtan University, 1990, 0(4) |
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| Authors: | Yan Xiaohong Yan Jiaren You Jianqiang Zhong Jianxing |
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| Affiliation: | Department of physics |
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| Abstract: | Electronic properties of a class of one-dimensional quasiperiodic (the generalized Fibonacci) superlattices are studied by using quasiperiodie Kr(?)nig-Penney model. It is shown that the electronic energy spectra of the quasiperiodic systems are cantor-set-like, i.e, the spectra are self-similar and the energy gaps are densely populated in the spectra. The energy spectra of L-th periodic structure are periodicenergylevel-like. |
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