Mieszczak Szymon, Kłos Jarosław W
Institute of Spintronics and Quantum Information, Faculty of Physics, Adam Mickiewicz University, Poznań, Poland.
Sci Rep. 2022 Jul 5;12(1):11335. doi: 10.1038/s41598-022-15328-x.
We present the concept of Zak phase for spin waves in planar magnonic crystals and discuss the existence condition of interface modes localized on the boundary between two magnonic crystals with centrosymmetric unit cells. Using the symmetry criterion and analyzing the logarithmic derivative of the Bloch function, we study the interface modes and demonstrate the bulk-to-edge correspondence. Our theoretical results are verified numerically and extended to the case in which one of the magnonic crystals has a non-centrosymmetric unit cells. We show that by shifting the unit cell, the interface modes can traverse between the band gap edges. Our work also investigate the role of the dipolar interaction, by comparison the systems both with exchange interaction only and combined dipolar-exchange interactions.
我们提出了平面磁振子晶体中自旋波的 Zak 相位概念，并讨论了局域在具有中心对称晶胞的两种磁振子晶体边界上的界面模式的存在条件。利用对称性判据并分析布洛赫函数的对数导数，我们研究了界面模式并证明了体态到边界态的对应关系。我们的理论结果通过数值验证，并扩展到其中一种磁振子晶体具有非中心对称晶胞的情况。我们表明，通过移动晶胞，界面模式可以在带隙边缘之间穿越。我们的工作还通过比较仅具有交换相互作用的系统和具有偶极 - 交换相互作用的组合系统，研究了偶极相互作用的作用。
