Intrinsic Localized Modes in a Two-Dimensional Checkerboard Ferromagnetic Lattice

An analytical work on intrinsic localized modes in a two-dimensional Heisenberg ferromagnet the checkerboard lattice is presented. Taking advantage of an asymptotic method, governing dynamical equations are reduced to one (2 + 1)-dimensional nonlinear Schrödinger equation. In our work, we obtain two types mode solutions, namely, Brillouin zone center and corner modes. The occurrence conditions for these given detail. Especially, find that competition between Dzialozinskii-Moriya interaction next-nearest neighbor has effect local structure acoustic mode.