Magnonic Coherent Transport Inside the Inhomogeneous 2D-Hexagonal System

Abstract
We investigate the spin magnetic excitation at soliton domain boundaries that separate phase domains in hexagonal two dimensional lattices. The inhomogeneity breaks translation symmetry in the direction normal to the defect domain boundaries, which induces the localized magnons. The precession deviation of spins of the bulk are determinate as function of changes of exchange integral parameters at the soliton domain boundaries. The system is supported on a non-magnetic substrate and considered otherwise free from magnetic interactions. The spin dynamics of the system is studied by the matching method. The coherent transmission and reflection scattering coefficients are derived as elements of a Landauer type scattering matrix. Transmission and reflection scattering cross sections are calculated specifically for three cases of magnetic exchange on the inhomogeneous soliton boundary to investigate the influence of the softening and the hardening of magnetic exchange on the boundary. The overall conductance is calculated. Numerical results show characteristic Fano resonance induced by interference effects between the incident film spin-waves and the localized spin states of the defect boundary.