Modeling and Simulation of Magnons Scattering Across Shear Spins in Multilayered Ferromagnetic Slabs

Abstract

In this work, we introduce a computer model and theoretical approach based on the matching technique to investigate the spin precession and the magnetic properties of an ordered magnetic interface joining two ferromagnetic multilayers of type AB, made of 10 spin slabs, obtained by alternative two spin layers A and B. We simulate, particularly, the coherent magnon transmission through spins' interface, in multilayered thin ̄lms, obtained by shearing a part of the ̄lm from the other at an angle of 30. The individual and total transmittance of bulk magnons of the thin ̄lm, scattering coherently at the shearing interface zone and the localized magnonic spin states, are calculated and analyzed. The transmission and re°ection spin modes are derived as elements of a Landauer–Büttiker type scattering matrix. The results highlight the localized spin states on the interface shear domain and their interactions with incident magnons. The evolutions of the magnonic spectra can be presented for arbitrary directions of the incident magnons on the boundary zone, for all accessible frequencies in the propagating bands as well as for the magnetic exchange coupling between each spin A(B) and its adjacent sites and their spin intensity. The results demonstrate the dependence of the magnonic spectra for the perfect multilayered ̄lms and at the inhomogeneous domain of the interface shear. The analysis of the spectra illustrates the °uctuations, related to Fano resonances, due to the coupling between travelling magnons and the localized modes in the shear interface domain. The calculated spectra could yield useful information concerning the magnetic parameters of such interface slabs in multilayered ̄lms.