Reflection and Refraction Process of Spinwave in a Ferromagnet/Frustrated Ferromagnet Junction System

Abstract

Frustration introduces a nontrivial dispersion relation of spinwave even in a ferromagnetic phase in a spin system. We study the reflection and refraction process of spinwaves in the ferromagnet/frustrated ferromagnet junction system by using the Holstein-Primakoff spinwave expansion and taking the large-S limit. We discuss the relation between the incident angle and the refraction angle of spinwave, namely, the Snell's law of spinwave. As concrete examples of frustrated ferromagnets, we study the fully polarized ferromagnet phases in J 1 -J 2 chains and the J 1 -J 2 models on the square lattice. The interesting refraction processes, such as the splitting of the incident spinwave and the negative refraction, are discussed. We also study the transmittance and reflectance in these concrete models.

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

“…by m A M SA + m B M SA . Thus, to list a few topics of relevance, we expect the problems of spin wave scattering from interfaces [83][84][85][86] (including the recently proposed magnonic Goos-Hänchen effect 87 ), spin wave dispersion in magnonic crystals 24,32,44,46,47,88 and quasi-crystals, 38,89,90 spectra and localization of defect and surface modes, 91,92,93 and associated applications in magnonic devices 14,40,41,94 to be revisited with the generalized Barnaś-Mills boundary conditions derived here.…”

Real-time observation of Snell’s law for spin waves in thin ferromagnetic films

“…Therefore, the wavenumber is modulated at the junction by the difference of the dispersion relations. [14][15][16][17] Although Snell's law is well established in optics, it has never been experimentally tested for spin waves.…”