Wannier-Stark ladder spectrum of Bloch oscillations of magneto-dipole spin waves in graded 1D magnonic crystals

We have used the method of Wannier functions to calculate the frequencies and profiles of spin waves localized in one-dimensional magnonic crystals due to a gradient in the bias magnetic field. This localization of spin waves is analogous to the phenomenon of Bloch oscillations of quantum-mechanical...

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Bibliographic Details
Published in:Low temperature physics (Woodbury, N.Y.) N.Y.), 2020-08, Vol.46 (8), p.830-835
Main Authors: Tartakovskaya, E. V., Laurenson, A. S., Kruglyak, V. V.
Format: Article
Language:English
Subjects:
Bias
Computer simulation
Crystals
Dipoles
Electric fields
Magnetic fields
Magnons
Oscillations
Wave spectra
Yttrium
Yttrium-iron garnet
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Summary:We have used the method of Wannier functions to calculate the frequencies and profiles of spin waves localized in one-dimensional magnonic crystals due to a gradient in the bias magnetic field. This localization of spin waves is analogous to the phenomenon of Bloch oscillations of quantum-mechanical electrons in crystals in a uniform electric field. As a convenient yet realistic model, we consider backward volume magnetostatic spin waves in a film of yttrium-iron garnet in a bias magnetic field comprising spatially uniform, cosine and gradient contributions. The spin-wave spectrum is shown to have the characteristic form of a Wannier–Stark ladder. The analytical results are verified using those obtained using numerical micromagnetic simulations. The physics of spin-wave Bloch oscillations combines the topics of magnonic crystals and graded magnonic index — the two cornerstones of modern magnonics.
ISSN:1063-777X
1090-6517
DOI:10.1063/10.0001550