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This study introduces a method for the characterization of themagnetoelectric coupling in nanoscale Pb(Zr,Ti)O3/CoFeB thin film compositesbased on propagating spin-wave spectroscopy. Finite element simulations of thestrain distribution in the devices indicated that the magnetoelastic effectivefield in the CoFeB waveguides was maximized in the Damon - Eshbachconfiguration. All-electrical broadband propagating spin-wave transmissionmeasurements were conducted on Pb(Zr,Ti)O3/CoFeB magnetoelectric waveguideswith lateral dimensions down to 700 nm. The results demonstrated that thespin-wave resonance frequency can be modulated by applying a bias voltage toPb(Zr,Ti)O3. The modulation is hysteretic due to the ferroelastic behavior ofPb(Zr,Ti)O3. An analytical model was then used to correlate the change inresonance frequency to the induced magnetoelastic field in the magnetostrictiveCoFeB waveguide. We observe a hysteresis magnetoelastic field strength withvalues as large as 5.61 mT, and a non-linear magnetoelectric couplingcoefficient with a maximum value of 1.69 mT/V.

Magnetoelectric Coupling in Pb(Zr,Ti)O3/CoFeB Nanoscale Waveguides Studied by Propagating Spin-Wave Spectroscopy