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Spin-wave confinement in rolled-up ferromagnetic tubes
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Sketch of the RUPT shown in (c) and (d). We assume in the plane and label E1/E2 and P1/P2 as the equators and poles of the tube, respectively. (b) Layer sequence of the tube walls. The strained semiconductor layers serve as rolling templates for the Permalloy layer. (c) Top-view optical micrograph of the CPW consisting of a signal line (S) and two grounds (G). The manipulation needle is used to deposit the RUPT on the signal line. (d) Zoom-in taken with a scanning electron microscope after manipulation. The outer rolling edge of the tube is indicated by the black arrow. The orientation of the external magnetic field in the -plane is described by the angle . The coordinate systems of (a) and (d) refer to each other.

Image of FIG. 2.
FIG. 2.

Spin-wave dispersion of the RUPT shown in Fig. 1 with external magnetic field parallel and tilted with respect to the tube axis. [(a) and (b)] Experimental data obtained with microwave absorption spectroscopy. In (a) all frequency sweeps are normalized to the same value. In (b) every frequency sweep is normalized individually to its maximum absorption value for a better visibility (blue, white, and red, respectively, mean low, medium, and high absorption). [(c) and (d)] Corresponding simulated data obtained within the OOMMF framework. The RUPT is modeled with a wire of the width in a modulated magnetic field. The dotted curve in (a) is calculated with Kittel’s formula (Ref. 18) for a wire with a reduced width . (e) Calculated absolute amplitude of mode A (7.4 GHz at ) and mode B (5.5 GHz at ) for plotted in dependence of the azimuthal position in the RUPT. Mode B is located at the poles. Mode A exhibits a more complex pattern with the highest amplitudes at the equators.

Image of FIG. 3.
FIG. 3.

[(a) and (b)] Sketch of the magnetization in the RUPT for parallel and tilted with respect to the tube axis. (c) In a RUPT spin precession tangential to the curvature induces dynamic demagnetization fields. For these demagnetization fields can be accounted for by reducing the width of the wire used to model the RUPT.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spin-wave confinement in rolled-up ferromagnetic tubes