Spectral intensities and frequencies of spin waves in ferromagnetic cylinders: Application to nickel nanowires

Dipole-exchange spin waves in ferromagnetic stripes with inhomogeneous magnetization

“…8 for different applied fields. Here we take the material to be Ni 81 Fe 19 with the anisotropy field set to be zero, for convenience, and the other parameters as before. For simplicity, only the two lowest modes are shown.…”

“…For brevity, their explicit form will not be quoted here, but we refer to the Appendix of Ref. 19 for details of the procedure. By making a canonical transformation to diagonalize Eq.…”

Resonant spin-wave modes in trilayered magnetic nanowires studied in the parallel and antiparallel ground state

“…Previously this method has been applied to other magnetic nanostructures, including cylindrical wires [13] and magnonic crystals [14]. The Hamiltonian approach includes terms for the dynamic and static parts of the interstripe dipolar interactions, as well as the usual intrastripe dipolar and exchange terms.…”

Spin waves in permalloy nanowires: The importance of easy-plane anisotropy

“…The authors showed that a preliminary interpretation using macroscopic theory 13 was satisfactory for the zero applied magnetic-field results, but the experimental data in a transverse field have only recently been explained using a microscopic ͑or Hamiltonian-based͒ model that allows for inhomogeneous magnetization. 14,15 In another theoretical work, 16 the SW frequencies in the transverse-field case have been calculated within the framework of a macroscopic approach by assuming that the magnetization remains uniform but canted away from the symmetry axis. Although the results in Ref.…”

“…15 Briefly, a single nanowire is modeled as having a macroscopically large number of layers of spins stacked vertically above each other ͑with spacing a͒ along the y axis from −ϱ to ϱ. Previously 14,15 each crosssection layer ͑in the xz plane͒ was approximated as a hexagon with radius R = ra, and the spins were arranged on a triangular lattice ͑also with lattice constant a͒.…”