Wannier-Stark ladder spectrum of Bloch oscillations of magneto-dipole spin waves in graded 1D magnonic crystals
Tartakovskaya, EV; Laurenson, AS; Kruglyak, VV
Date: 27 August 2020
Journal
Low Temperature Physics
Publisher
AIP Publishing
Publisher DOI
Abstract
We have used the method of Wannier functions to calculate the frequencies and profiles of spin
waves localised in one-dimensional (1D) magnonic crystals due to a gradient in the bias magnetic
field. This localisation of spin waves is analogous to the phenomenon of Bloch oscillations of
quantum-mechanical electrons in crystals in a ...
We have used the method of Wannier functions to calculate the frequencies and profiles of spin
waves localised in one-dimensional (1D) magnonic crystals due to a gradient in the bias magnetic
field. This localisation 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 (BVMSWs) in a film of yttriumiron garnet (YIG) 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 WannierStark 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.
Physics and Astronomy
Faculty of Environment, Science and Economy
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