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Differential magnetic transmission x-ray micrographs with respect to the preceding field step. Positive field values correspond to a magnetic field applied in positive x direction. White (black) contrast corresponds to the magnetization pointing in positive (negative) x direction. Arrows inside the first triangle in (a) illustrate the magnetization directions of the three magnetic domains. In (b)-(d), the sample has been primarily saturated in the indicated field direction parallel to the x axis.
(a) Scanning-electron micrograph of an ensemble of triangular structures covered by the signal line of a coplanar waveguide splitted into four separated lines. (b) Broadband-ferromagnetic resonance transmission spectra of the ensemble shown in (a). An external bias field along the x axis is successively increased from mT to 30 mT. The dark (blue) color corresponds to reduced transmission. (c) Spectrum at zero bias field. The normalized resonance frequencies versus bias field is shown for triangles (d)aligned with the x axis and (e) tilted by with respect to the x axis.
(a) Resonance frequency of vortex gyration as a function of the strength of the external bias field and its angle with respect to the x axis determined from broadband FMR measurements. The position of the vortex core in a triangle with C = −1 for characteristic field angles is illustrated on top of (a). (b) Dependence of the resonance frequency on the field angle at a bias field of about 12 mT for ensembles of triangles tilted by different angles . For clarity, the curves in (b) are successively offset.
(a) Eigenfrequency of vortex gyration as a function of the strength of the external bias field and its angle with respect to the x axis determined from micromagnetic simulations of a single triangle. The corresponding magnetic ground state of the triangle with round corners is shown in (b). Forcomparison, the ground state of a triangle with sharp corners is shown in (c). Arrows indicate the magnetization directions. Both triangles have the chirality C = −1.
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