Glide-reflection symmetric phononic crystal interface: variation on a theme
Glide-reflection symmetric phononic crystal interface: variation on a theme
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DOI：
10.1007/s10409-023-23016-x
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发表时间：
2023-05
影响因子：
3.5
通讯作者：
V. Laude;J. A. I. Martínez;N. Laforge;M. Kadic;E. Prodan
中科院分区：
文献类型：
--
作者：
V. Laude;J. A. I. Martínez;N. Laforge;M. Kadic;E. Prodan
利用晶体界面的滑动反射对称性，可以人工合成结点。对于正方形晶格声子晶体，在第一布里渊区的X点(波数=±π/a与晶格常数)，对于半晶格常数滑移，首次证明了这一性质。在这里，我们证明了考虑四分之一晶格常数滑动反射对称性时，节点可以移动到Γ点(k=0)。进一步表明，沿x轴施加连续的分级使能带结构基本不受影响。特别地，当滑移反射对称性仅在梯度界面附近局部有效时，拓扑界面波仍然存在。因此，滑动位错可以在几行晶体的距离上得到补偿，以恢复明显的周期性晶体。
Nodal points can be artificially synthesized using glide-reflection symmetries at crystal interfaces. This property was first demonstrated for a square-lattice phononic crystal at theXpoint of the first Brillouin zone (wavenumberk= ±π/awithathe lattice constant), for a half-lattice-constant glide. Here we show that the nodal point can be moved to theΓpoint (k= 0) considering quarter-lattice-constant glide-reflection symmetry. Applying a continuous grading along the x-axis is further shown to leave the band structure mostly unaffected. In particular, the topological interface waves survive in the case that glide-reflection symmetry is only locally valid around the graded interface. As a result, the glide dislocation can be compensated for over a distance of a few crystal rows, to recover an apparently periodic crystal.