并联散射体的传递矩阵

摘要：

利用传输矩阵公式研究了平行耦合散射体中的输运现象。本文导出了由$N$任意散射单胞并联组成的一维二端系统的传递矩阵的一个简单递推关系。对于相同的散射子单元，我们发现并联对耦合系统输运性质的影响可以通过对单个散射体的相似变换来描述，相似矩阵由结点的散射矩阵决定。而对于不同的单个散射体，相似矩阵既依赖于单个单元的散射特性，也依赖于连接拓扑结构。

英文摘要：

Transport phenomena in parallel coupled scatterers are studied by transfer matrix formulism. We derive a simple recurrence relation for transfer matrix of one-dimensional two-terminal systems consisting of $N$ arbitrary scattering unit cells connected in parallel. For identical scattering sub-units we find that the effects of parallel connection on transport properties of the coupled system can be described by a similarity transformation on the single scatterer, with the similar matrix determined by the scattering matrix of the junction. While for distinct single scatterers, the similar matrices depend on both scattering properties of individual elements and structure of connection topologies.

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