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In this work, the spin wave calculations were carried out using theHeisenberg Hamiltonian to study the allowed spin waves of zigzag and armchairedged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice\cite{Selim2011}. The Hamiltonian is used to construct the $\mathbf{E}$ matrixwhich encodes the exchange flow of magnons in the stripes. It is found that theallowed spin wave modes are the eigenvalues of the $\mathbf{E}$ matrix andtherefore it is used to study the effects of the stripe width, edge exchange,the edge uniaxial anisotropy, and impurities on the allowed spin waves ofstripes. The obtained results almost coincide with the results of graphenenanoribbons described by tight binding Hamiltonian for electronic excitations.Therefore, we suggest the fabrication of the magnetic counterpart to grapheneas a new technology in the field of spintronic devices and magneticapplications.

SpinWaves in Ferromagnetic Dots 2D Honeycomb Lattice Stripes