量子输运通过分级结构
Quantum Transport through Hierarchical Structures
摘要：
量子电子在等级晶格中的输运是一个有趣的问题，因为这种晶格同时具有规则晶格和随机系统的一些性质。在紧束缚近似下，我们计算了两个相关的Hanoi网络的电子传输作为能量的函数。HN3是一个Hanoi网络，每个站点有三个键。HN5在HN3上增加了额外的键，使每个位点的平均键数等于5。我们提出了一种重整化群方法来求解这个量子输运计算中涉及的矩阵方程。我们在HN 3中观察到带隙，而在线性网络或HN 5中没有观察到这样的带隙。
英文摘要：
The transport of quantum electrons through hierarchical lattices is of interest because such lattices have some properties of both regular lattices and random systems. We calculate the electron transmission as a function of energy in the tight binding approximation for two related Hanoi networks. HN3 is a Hanoi network with every site having three bonds. HN5 has additional bonds added to HN3 to make the average number of bonds per site equal to five. We present a renormalization group approach to solve the matrix equation involved in this quantum transport calculation. We observe band gaps in HN3, while no such band gaps are observed in linear networks or in HN5.
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