论文标题
瑞利边缘在具有洛伦兹力的二维晶体中 - 从天空晶体到陀螺介质
Rayleigh Edge Waves in Two-Dimensional Crystals with Lorentz Forces -- from Skyrmion Crystals to Gyroscopic Media
论文作者
论文摘要
我们在线性弹性理论的框架内研究了二维弹性固体的边缘雷利波，由于浆果项而导致的时间反转和平等对称性破裂。作为我们的主要例子，我们研究了沿着薄膜手性磁铁内的二维Skyrmion晶格边界传播的弹性边缘波。我们发现，雷利模式的传播方向不仅取决于薄膜的手性，而且还取决于晶体的泊松比。我们发现了三个定性不同的区域，这些区域是通过低频边缘波的手性而区分的，并研究了它们的性质。为了实时说明瑞利边缘波，我们进行了模型的有限差模拟。除了天空晶体外，我们的结果还适用于gyro弹性介质的边缘波和磁场中筛选的wigner晶体。我们的作品为沿晶体边界的弹性信号操纵而开辟了一条途径，具有破裂的时间反转对称性。
We investigate, within the framework of linear elasticity theory, edge Rayleigh waves of a two-dimensional elastic solid with broken time-reversal and parity symmetries due to a Berry term. As our prime example, we study the elastic edge wave traveling along the boundary of a two-dimensional skyrmion lattice hosted inside a thin-film chiral magnet. We find that the direction of propagation of the Rayleigh modes is determined not only by the chirality of the thin-film, but also by the Poisson ratio of the crystal. We discover three qualitatively different regions distinguished by the chirality of the low-frequency edge waves, and study their properties. To illustrate the Rayleigh edge waves in real time, we have carried out finite-difference simulations of the model. Apart from skyrmion crystals, our results are also applicable to edge waves of gyroelastic media and screened Wigner crystals in magnetic fields. Our work opens a pathway towards controlled manipulation of elastic signals along boundaries of crystals with broken time-reversal symmetry.
