Abstract
摘要 界面态具有巨大的实际应用价值，因此寻找界面态是一个既有科学意义也有应用前景的课题。在本文中，我们通过把二维正方晶格声子晶体的结构单元进行倾斜，构造出具有线性狄拉克色散的斜方晶格体系。狄拉克色散引起体能带Zak相位的π跃变，使得位于狄拉克锥投影能带两边的带隙具有不同符号的表面阻抗，从而导致由正方晶体体系与由其“倾斜”的斜方晶格体系构成的界面处存在确定性的界面态。 关键词: 声子晶体 / 线性色散 / 界面态 / Zak相位 文章全文 施引文献
Highlights
图 1 (a) 二维正方晶格声子晶体的能带结构。插图是原胞示意图。 (b) M 点附 近的三维能带结构,对应于图(a)中的虚线区域。 Fig. 1
Projected band structures along the kx direction of the phononic crystals with a square lattice (a) and an oblique lattice with α = 70° (b). (c) Interface state dispersion along the kx direction of the interface constructed by two phononic crystals with the square and oblique lattices
The black and pink lines denote the bulk and interface states, respectively. (d) Left panel: the interface constructed by two phononic crystals with the square and oblique lattices
Summary
图 1 (a) 二维正方晶格声子晶体的能带结构。插图是原胞示意图。 (b) M 点附 近的三维能带结构,对应于图(a)中的虚线区域。 Fig. 1. (a) Bulk band structure of a two-dimensional phononic crystal with a square lattice, consisting of a rubber cylinder in water. (b) 3D bulk band structure around the M point, corresponding to the dashed region in (a). 图 2 (a) 倾斜角α = 70°的斜方晶格体系的能带结构。左插图是二维斜方晶格声 子晶体的原胞,右插图表示虚线区域的放大能带结构。(b) 斜方晶格的第一布里 渊区。(c) 线性狄拉克点附近的三维能带结构,对应于图(a)中的虚线区域。 Fig. 2.
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