论文标题

碳纳米管结构上的量子步行运输

Quantum walk transport on carbon nanotube structures

论文作者

Mareš, Jan, Novotný, Jaroslav, Jex, Igor

论文摘要

我们使用量子步行的概念研究了碳纳米管对碳纳米管的源激发传输。特别是,我们专注于Grover Coinco的量子步行的运输特性,这些量子步行是带有锯齿状和扶手椅手力的理想和渗透纳米管的运输特性。使用分析和数值方法,我们确定纳米管和不同类型的水槽的几何特性如何完全控制捕获状态的结构,并因此如何控制整体源链接运输效率。结果表明,纳米管的手性将运输效率的行为分解为一​​些通常分开的定量分支。基于此,我们发现了有趣的量子传输现象,例如增加管的长度可以增强运输,并为最薄的管实现最高的运输效率。我们还证明,在理想纳米管上量子步行的运输效率可能表现出振荡行为,取决于长度和手性。

We study source-to-sink excitation transport on carbon nanotubes using the concept of quantum walks. In particular, we focus on transport properties of Grover coined quantum walks on ideal and percolation perturbed nanotubes with zig-zag and armchair chiralities. Using analytic and numerical methods we identify how geometric properties of nanotubes and different types of a sink altogether control the structure of trapped states and, as a result, the overall source-to-sink transport efficiency. It is shown that chirality of nanotubes splits behavior of the transport efficiency into a few typically well separated quantitative branches. Based on that we uncover interesting quantum transport phenomena, e.g. increasing the length of the tube can enhance the transport and the highest transport efficiency is achieved for the thinnest tube. We also demonstrate, that the transport efficiency of the quantum walk on ideal nanotubes may exhibit even oscillatory behavior dependent on length and chirality.

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