论文标题
蜂窝电晶格中的非线性边缘模式附近的迪拉克点附近
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
论文作者
论文摘要
我们在实验和数值上检查了具有蜂窝结构的二维非线性驱动的电晶格。驱动器在外部（下方和更高）和线性模式带内的一系列频率上都被视为驱动器。我们确定了许多离散的呼吸器，既存在于大容量中，又（主要是）在域边界上产生的呼吸器，这些呼吸器沿着扶手椅或锯齿形边缘进行了定位。在分散表面的越野点频率附近以不同的频带在分散表面驱动晶格（以空间均匀的方式）时，观察到的边缘呼吸器的类型以不同的频带的形式出现并计算出来。这些观察/计算可以代表探索非线性和拓扑相互作用的起点，例如蜂窝电气晶格等实验拖延系统。
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.
