Spin Waves Propagation Through Honeycomb-Shaped Spin Nanocontacts in 2D-Heisenberg Ferromagnets

Analytical and numerical formalisms are developed to study the influence of the honeycomb nanocontact configurations on the spin wave scattering and magnon transmission modes in two-dimensional multichannel waveguides. The transmission of magnons propagating through spin interface sites is calculated and analyzed on a ferromagnetic network of spins using the matching technique. In this contribution, two semi-infinite groups of two parallel Heisenberg ferromagnetic chains, joined by honeycomb configuration sites, make the simulated model. The spin reflection and transmission coefficients are derived as elements of a Landauer-type scattering matrix. The results of the numerical simulations demonstrate interferences between incident scattered spin modes and localized spin states in the nanocontact zone, with characteristics of Fano resonances. The simulations are carried out according to the various parameters that characterize the two semi-infinite double chains, which are connected by the honeycomb configurations in the three models of the studied ferromagnetic nanocontact. The obtained results demonstrate the dependence of spin wave conductance on the magnetic exchange, incidence angle and architecture of the spin sites that form the nanocontact.