Within the framework of the solid state theory, an expression for the spectrum of spin waves propagating in a thin magnetic nanowire curled into a helix (spiral) is obtained. Its modification under the effect of a periodic modulation of the helical pitch is analyzed. In particular, it is shown that the periodic modulation of the helix pitch leads to the appearance of band gaps in the spectrum of spin waves. The influence of the modulation depth of the helical pitch on a size of the first gap is considered.
An effect of the curvature induced anisotropy on the spectrum of spin waves in a curved magnetic nanowire
V. S. Tkachenko, A. N. Kuchko, V. V. Kruglyak; An effect of the curvature induced anisotropy on the spectrum of spin waves in a curved magnetic nanowire. Low Temp. Phys. 1 February 2013; 39 (2): 163–166. https://doi.org/10.1063/1.4792133
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