An attempt to improve semiclassical calculations of wave transport in a quantum wire with diffraction

H. Ishio
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Abstract

In our previous presentations in the series of this seminar, we have shown an interesting phenomenon which was found numerically and later explained semiclassically for coherent electronic transmission through a mesoscopic quantum wire with a step structure: Fistly, we reported by our numerical work that the electric current shows periodic oscillations as a function of a system parameter; secondly, we presented its semiclassical description to explain analytically that this is purely the effect of diffraction and constructive interference of transmitting electrons at the step structure of the wire. This time, we further report an attempt to improve the semi- classical calculations of wave transport in such a system.
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改进带衍射量子线中波输运的半经典计算的尝试
在我们之前的系列讲座中,我们已经展示了一个有趣的现象,这个现象是用数值方法发现的,后来用半经典方法解释了相干电子通过具有阶跃结构的介观量子线的传输:首先,我们用数值方法报告了电流作为系统参数的函数表现出周期性振荡;其次,我们给出了它的半经典描述,分析地解释了这纯粹是衍射和透射电子在线材阶梯结构上的构相干涉的影响。这一次,我们进一步报告了改进这种系统中波输运的半经典计算的尝试。
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