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中国物理学会期刊

周期与非周期传输线网络的物理与拓扑性质

CSTR: 32037.14.aps.69.20200258

Physics and topological properties of periodic and aperiodic transmission line networks

CSTR: 32037.14.aps.69.20200258
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  • 传输线电缆是一种生活中很常见的一维波导, 除了在工程上有广泛应用外, 也可以被应用于基础研究领域的一些理论验证性实验中. 例如, 因为传输线和量子电路具有相同的波动方程形式, 传输线被广泛应用于量子图的研究中. 另一方面, 传输线网络方程还和零能紧束缚模型的方程形式相似, 所以可以用传输线网络来验证基于紧束缚模型理论所预言的物理性质, 例如安德森局域化、能带结构、拓扑性质等. 本文从传输线网络方程出发, 回顾传输线在上面提到的几个研究方向中的具体应用. 这些研究方向分别为: 一维、二维、三维网络中的安德森局域化研究; 周期性以及准周期性网络中的能带结构; 传输线网络中角动量依赖的拓扑传输的验证. 本文详细阐述了这些工作的研究思路以及结果, 展现了传输线在基础研究领域的广泛应用潜力.

     

    Transmission line is a common kind of one-dimensional waveguide. In addition to being widely used in engineering, the transmission lines can be used in proof-of-principle experiments in basic scientific research. For example, the wave equations governing the transmission line and quantum wire are equivalent, so transmission lines are widely used in the research of quantum graphs. The transmission line network equations are similar to the equations of zero-energy tight binding model, so the transmission line network can also be used to study some physical properties predicted by the theories based on tight binding model, and examples include Anderson localization, band dispersions, topological properties, etc. According to the transmission line network equations, we review some applications of transmission lines in the research fields mentioned above. We will discuss Anderson localization in one-, two-, and three-dimensional networks, the band structures of periodic and quasiperiodic networks, and the angular moment-dependent topological transport in transmission line network. We introduce the methods and results in detail to show the potential of transmission lines in basic scientific research.

     

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