(a) Sketch of the 200 nm thick Ni thin film deposited onto a Kapton® substrate (125 μm). (b) Schematic diagram depicting the applied voltage within the Piezoelectric/Kapton®/Ni heterostructure. Note that two different coordinate systems are used; (x, y, z) and (X, Y, Z), respectively, related to the Ni thin film and to the piezoelectric actuator. Thereby, is the angle between the applied magnetic field and x direction and is the angle between and X direction.
(a) Frequency variation of the uniform mode as function of the in-plane applied magnetic field at zero applied voltage. Open symbols are obtained with and the filled ones are obtained with . (b) In-plane angular dependence of the resonance field at 10 GHz. The solid and dashed lines in (a) and (b) are best fits to the experimental data using the following parameters: and Eq. (1) .
DIC measurements of the mean in-plane strains ( and ) at the surface of the Ni film. The circles correspond to while squares correspond to . The applied external voltage is ranging from 0 V to 100 V (filled symbols) and back to 0 V (open symbols) with steps of ∼5 V. The first measurement at 0 V has been performed after “saturating” the actuator at 100 V to avoid training effect of the polarization.
(a), (b) Top view sketches of the two configurations used in the in situ MS-FMR investigations.
(a), (b) Experimental spectra recorded at 10 GHz with at different voltages for the first and the second configurations illustrated in Figure 4 , respectively. (c), (d) Resonance field variations (at 10 GHz) as function of the applied voltage with for the first and second configurations, respectively. The open symbols correspond to upsweep (0 to 100 V), while filled symbols correspond to downsweep (100 to 0 V). The solid and dashed lines are best fits to the experimental data by using an analytical expression deduced from equations (2)–(4) An isotropic magnetostriction coefficient of −26 × 10−6 is deduced.
Resonance field as function of the applied voltage at 10 GHz for different values ( and . Filled symbols correspond to the experimental data obtained from the first configuration (Figure 4(a) ) while open symbols are obtained from the second configuration (Figure 4(b) ). The dashed and continuous lines are fits to the experimental data obtained by using an analytical expression deduced from Eqs. (2)–(4) . A magnetostrictive coefficient at saturation of magnitude is deduced.
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