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Inelastic neutron scattering is utilized to directlymeasure inter-nanoparticle spinwaves, ormagnons, which arise from themagnetic coupling between 8.4 nm ferrite nanoparticles that are self-assembled into a close-packed lattice, yet are physically separated by oleic acid surfactant. The resulting dispersion curve yields a physically-reasonable, non-negative energy gap onlywhen the effectiveQ is reduced by the inter-particle spacing. ThisQ renormalization strongly indicates that the dispersion is a collective excitation between the nanoparticles, rather than originating fromwithin individual nanoparticles. Additionally, the observedmagnons are dispersive, respond to an appliedmagnetic field, and display the expected temperature-dependent Bose population factor. The experimental results are well explained by a limited parametermodel which treats the three-dimensional ordered, magnetic nanoparticles as dipolar-coupled superspins.

Spin waves across three-dimensional, close-packed nanoparticles