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We present a joint experimental and theoretical study of parametric resonanceof spin wave eigenmodes in Ni$_{80}$Fe$_{20}$/Pt bilayer nanowires. Usingelectrically detected magnetic resonance, we measure the spectrum of spin waveeigenmodes in transversely magnetized nanowires and study parametric excitationof these eigenmodes by a microwave magnetic field. We also develop ananalytical theory of spin wave eigenmodes and their parametric excitation inthe nanowire geometry that takes into account magnetic dilution at the nanowireedges. We measure tuning of the parametric resonance threshold by antidampingspin Hall torque from a direct current for the edge and bulk eigenmodes, whichallows us to independently evaluate frequency, damping and ellipticity of themodes. We find good agreement between theory and experiment for parametricresonance of the bulk eigenmodes but significant discrepancies arise for theedge modes. The data reveals that ellipticity of the edge modes issignificantly lower than expected, which can be attributed to strongmodification of magnetism at the nanowire edges. Our work demonstrates thatparametric resonance of spin wave eigenmodes is a sensitive probe of magneticproperties at edges of thin-film nanomagnets.

Parametric resonance of spin waves in ferromagnetic nanowires tuned by spin Hall torque