蜂窝电晶格中Dirac点附近的非线性边缘模
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
摘要：
我们研究-实验和数值-一个二维非线性驱动的蜂窝结构的电晶格。驱动器被认为是在一个范围内的频率外（低于和高于）和带内的线性模式。我们确定了一些离散的呼吸都存在于散装和（主要）在域边界产生的，本地化沿扶手椅或沿之字形边缘。观察和计算的边缘局部呼吸器的类型出现在不同的频带附近的迪拉克点频率的色散表面，同时驱动晶格亚谐（在空间均匀的方式）。这些观察/计算可以代表一个起点，对探索的非线性和拓扑结构的相互作用，在实验上易于处理的系统，如蜂窝电晶格。
英文摘要：
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of linear modes. We identify a number of discrete breathers both existing in the bulk and also (predominantly) ones arising at the domain boundaries, localized either along the arm-chair or along the zig-zag edges. The types of edge-localized breathers observed and computed emerge in distinct frequency bands near the Dirac-point frequency of the dispersion surface while driving the lattice subharmonically (in a spatially homogeneous manner). These observations/computations can represent a starting point towards the exploration of the interplay of nonlinearity and topology in an experimentally tractable system such as the honeycomb electrical lattice.
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