Spin dynamics and surface magnons in antiferromagnetic monoxide lattices along [001] and [011] directions

A theoretical model to study the localized surface spin states, along two different directions [001] and [011] is presented. The model is mainly used to analyze the antiferromagnetic monoxide network of spins, using the matching method theory. The magnon spectrum is determined by numerical calculations based on the Landauer-B¨ uttiker formalism of the scattering matrix. Our simulation results show the interference effects between magnon states of the monoxide continuum and the localized magnon modes created by the surface region with Fano resonance characteristics. Additionally, the results are obtained by computing different possibilities of the magnetic parameters, characterizing the antiferromagnetic and the ferromagnetic couplings between spin sites on the monoxide structures. The interactions between the refection and the propagating spin modes describe several types of oscillations. We notice that the magnetic spectra at the surface of monoxide lattices are proportional to the magnetic coupling and the spin intensity of the antiferromagnetic lattices. Simulations and numerical calculations relating to spin excitations in monoxide lattices make it possible to extract useful information for the elaboration of sensors for specific applications.