Dipole-Exchange Spin Waves in a Ferromagnetic Nanotube

  • Yu. I. Gorobets Institute of Magnetism, Nat. Acad. of Sci. of Ukraine
  • V. V. Kulish Department of General and Experimental Physics, National Technical University of Ukraine “Kyiv Politechnic Institute”
Keywords: spin wave, nanomagnetics, ferromagnetic nanotube, dipole-exchange theory


Spin waves in a cylindrical ferromagnetic nanotube are studied. A nanotube with an external magnetic field applied parallel to its symmetry axis is considered. A linearized Landau–Lifshitz equation in the magnetostatic approximation is used with regard for the magnetic dipole-dipole interaction, exchange interaction, and anisotropy effects. As a result, the dispersion relation and the radial wavenumber spectrum for spin waves in the above-described nanotube are found. From the radial wavenumber spectrum, limitations on the transverse-angular modes are defined.


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How to Cite
Gorobets, Y., & Kulish, V. (2018). Dipole-Exchange Spin Waves in a Ferromagnetic Nanotube. Ukrainian Journal of Physics, 59(5), 541. https://doi.org/10.15407/ujpe59.05.0541