Edge spin wave transmission through a vertex domain wall in triangular dots

Abstract

Spin waves (SWs), being usually reflected by domain walls, could also be channeled along them. Edge domain walls yield the interesting, and potentially applicable to real devices property of broadband spin waves confinement to the edges of the structure. Here we investigate through numerical simulations the propagation of quasi one-dimensional spin waves in triangle-shaped amorphous YIG ($Y_3Fe_5O_{12}$) micron sized ferromagnets as a function of the angle aperture. The edge spin waves (ESWs) have been propagated over the corner in triangles of 2 microns side with a fixed thickness of 85 nm. Parameters such as superior vertex angle (in the range of 40$^\circ$-75$^\circ$) and applied magnetic field have been optimized in order to obtain a higher transmission coefficient of the ESWs over the triangle vertex. We observed that for a certain aperture angle for which dominated ESW frequency coincides with one of the localised DW modes, the transmission is maximized near one and the phase shift drops to $\pi/2$ indicating resonant transmission of ESWs through the upper corner. We compare the obtained results with existing theoretical models. These results could contribute to the development of novel basic elements for spin wave computing.