Exchange regime of the spin waves in two-dimensional honeycomb-like ferromagnetic lattices

The role of exchange interactions in the dynamics of collective excitations in magnetic materials is of essential importance, and since the experimental discovery of planar ferromagnetism, a flurry of research has rapidly reshaped the field of 2D materials. Although this topic has been widely addressed, the direct effects of exchange interactions on controlling the energy distribution of ferromagnetic systems, via the dispersion relationship, have not been adequately explored. This work investigates this theme and analyzes the repercussions on the magnonic density of states and energy fluctuations in the high symmetry paths of a ferromagnetic lattice with honeycomb topology, which made it possible to determine the points and direction most sensitive to this type of interaction.