Electric-field tunable spin diode FMR in patterned PMN-PT/NiFe structures
S{\l}awomir Zi\k{e}tek, Piotr Ogrodnik, Witold Skowro\'nski, Feliks, Stobiecki, Sebastiaan van Dijken, J\'ozef Barna\'s, Tomasz Stobiecki

TL;DR
This study demonstrates electric-field control of ferromagnetic resonance in NiFe/PMN-PT structures, enabling tunable spin diode FMR with potential applications in spintronic devices.
Contribution
It introduces an analytical model that explains electric-field tunability of FMR in patterned NiFe/PMN-PT structures, highlighting the strain-mediated control mechanism.
Findings
FMR frequency shifts up to 100 MHz per 1 kV/cm electric field.
Electric-field tunability is achieved through strain in the NiFe layer.
Conditions for strong electric-field tunable spin diode FMR are derived.
Abstract
Dynamic properties of NiFe thin films on PMN-PT piezoelectric substrate are investigated using the spin-diode method. Ferromagnetic resonance (FMR) spectra of microstrips with varying width are measured as a function of magnetic field and frequency. The FMR frequency is shown to depend on the electric field applied across the substrate, which induces strain in the NiFe layer. Electric field tunability of up to 100 MHz per 1 kV/cm is achieved. An analytical model based on total energy minimization and the LLG equation, with magnetostriction effect taken into account, is developed to explain the measured dynamics. Based on this model, conditions for strong electric-field tunable spin diode FMR in patterned NiFe/PMN-PT structures are derived.
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