Rayleigh waves and cyclotron surface modes of gyroscopic metamaterials

Autor: Marijanović, Filip, Moroz, Sergej, Jeevanesan, Bhilahari
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.106.024308
Popis: We investigate the elastic normal modes of two-dimensional media with broken time-reversal and parity symmetries due to a Lorentz term. Our starting point is an elasticity theory that captures the low-energy physics of a diverse range of systems such as gyroscopic metamaterials, skyrmion lattices in thin-film chiral magnets and certain Wigner crystals. By focusing on a circular disk geometry we analyze finite-size effects and study the low-frequency shape oscillations of the disk. We demonstrate the emergence of the Rayleigh surface waves from the bottom of the excitation spectrum and investigate how the curvature of the disk-boundary modifies their propagation at long wavelengths. Moreover, we discover a near-cyclotron-frequency wave that is almost completely localized at the boundary of the disk, but is distinct from the Rayleigh wave. It can be distinguished from the latter by a characteristic excitation pattern in a small region near the center of the disk.
Comment: 11 pages, 10 figures, A supplementary video is found via this https://youtu.be/7EQ5y4kSrvw YouTube link
Databáze: arXiv