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Electronic States in Mixed Cantor-like Potentials

机译:混合Cantor型势的电子态

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摘要

The transmittance is studied, using the transfer matrix method, for various multi-barrier systems. The calculations are made in the framework of effective mass theory. The transmittance is calculated for one system increasing the number of layers (generations). The systems are built by mixing a Cantor-like potential with a superlattice. Both cases, barriers and wells, for the Cantor-like potential, are considered to compare the variations between the known superlatice and the proposed mixed system. The resulting potential is as follows, first a superlattice, next a Cantor and finally another superlattice. Another interesting feature is to study the effect of the width and number of layers for the super lattices. The fractal dimension of the transmittance and the potential is calculated, using an image processing technique, to determine if some correlation exists between the fractality of the potential and the fractality of the transmittance.
机译:使用传输矩阵方法研究了各种多屏障系统的透射率。计算是在有效质量理论的框架内进行的。对于增加层数(世代)的一个系统,计算透射率。该系统是通过将类似Cantor的电势与超晶格混合而构建的。考虑到Cantor式势的两种情况(障碍和井),可以比较已知的超晶格和拟议的混合体系之间的变化。产生的电势如下,首先是超晶格,其次是康托尔,最后是另一个超晶格。另一个有趣的功能是研究超晶格的宽度和层数的影响。使用图像处理技术计算透射率和电势的分形维数,以确定在电势的分形率和透射率的分形率之间是否存在某些相关性。

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