Localization in one-dimensional Soukoulis-Economou model with incommensurate potentials

Localization in one-dimensional Soukoulis-Economou model with incommensurate potentials
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DOI:
10.1007/s002570050127
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发表时间:
1996-06-01
期刊:
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER
影响因子:
--
通讯作者:
Liu, YY
Liu, YY
中科院分区:
其他
文献类型:
--
作者:
Zhou, PQ;Fu, XJ;Liu, YY

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具有不通约势 epsilon(n) = 1.9 where [cos(2 pi omega n) + 1/3cos(4 pi omega n)], where omega = sigma = (root 5 - 1)/2 的一维 Soukoulis-Economou 模型的定位通过使用两种方法进行研究:连续周期近似中的带宽缩放分析,以及 波函数的多重分形分析。在第五子带的间隙中发现移动性边缘。我们发现所有处于较高能量的状态都是局域化的,而所有处于较低能量的状态都是扩展的。这些结果与以前的作品中给出的结果不同。
The localization of one-dimensional Soukoulis-Economou model with incommensurate potentials epsilon(n) = 1.9 where [cos(2 pi omega n) + 1/3cos(4 pi omega n)], where omega = sigma = (root 5 - 1)/2 is studied by the use of two methods: the scaling analysis of bandwidth in successively periodic approximation, and the mutlifractal analysis of wave functions. A mobility edge is found in a gap of the fifth subband. We found that all the states at higher energies are localized while all those at lower energies are extended. These results are different from those given in previous works.